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Finding the Fourth Proportional to 728.85, 1,005.84 and 434.15

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Solution

The fourth proportional to 728.85, 1,005.84 and 434.15 is: 599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.85 : 1,005.84 = 434.15 : x
  2. Step 2: Convert to fraction form
    728.85/1,005.84 = 434.15/x
  3. Step 3: Cross multiply
    728.85x = 1,005.84 × 434.15
  4. Step 4: Simplify right side
    728.85x = 436,680.41
  5. Step 5: Solve for x
    x = 436,680.41/728.85
  6. Step 6: Final answer
    x = 599.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.