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Finding the Fourth Proportional to 989.49, 1,484.24 and 259.07

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Solution

The fourth proportional to 989.49, 1,484.24 and 259.07 is: 388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.49 : 1,484.24 = 259.07 : x
  2. Step 2: Convert to fraction form
    989.49/1,484.24 = 259.07/x
  3. Step 3: Cross multiply
    989.49x = 1,484.24 × 259.07
  4. Step 4: Simplify right side
    989.49x = 384,522.06
  5. Step 5: Solve for x
    x = 384,522.06/989.49
  6. Step 6: Final answer
    x = 388.61

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.