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Finding the Fourth Proportional to 984.49, 1,477.64 and 497.88

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Solution

The fourth proportional to 984.49, 1,477.64 and 497.88 is: 747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.49 : 1,477.64 = 497.88 : x
  2. Step 2: Convert to fraction form
    984.49/1,477.64 = 497.88/x
  3. Step 3: Cross multiply
    984.49x = 1,477.64 × 497.88
  4. Step 4: Simplify right side
    984.49x = 735,684.91
  5. Step 5: Solve for x
    x = 735,684.91/984.49
  6. Step 6: Final answer
    x = 747.28

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Double scale
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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.