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Finding the Fourth Proportional to 728.75, 1,005.70 and 434.02

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Solution

The fourth proportional to 728.75, 1,005.70 and 434.02 is: 598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.75 : 1,005.70 = 434.02 : x
  2. Step 2: Convert to fraction form
    728.75/1,005.70 = 434.02/x
  3. Step 3: Cross multiply
    728.75x = 1,005.70 × 434.02
  4. Step 4: Simplify right side
    728.75x = 436,493.91
  5. Step 5: Solve for x
    x = 436,493.91/728.75
  6. Step 6: Final answer
    x = 598.96

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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.