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Finding the Fourth Proportional to 986.49, 1,479.42 and 328.23

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Solution

The fourth proportional to 986.49, 1,479.42 and 328.23 is: 492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.49 : 1,479.42 = 328.23 : x
  2. Step 2: Convert to fraction form
    986.49/1,479.42 = 328.23/x
  3. Step 3: Cross multiply
    986.49x = 1,479.42 × 328.23
  4. Step 4: Simplify right side
    986.49x = 485,590.03
  5. Step 5: Solve for x
    x = 485,590.03/986.49
  6. Step 6: Final answer
    x = 492.24

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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.