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Finding the Fourth Proportional to 728.65, 1,005.31 and 433.94

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Solution

The fourth proportional to 728.65, 1,005.31 and 433.94 is: 598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.65 : 1,005.31 = 433.94 : x
  2. Step 2: Convert to fraction form
    728.65/1,005.31 = 433.94/x
  3. Step 3: Cross multiply
    728.65x = 1,005.31 × 433.94
  4. Step 4: Simplify right side
    728.65x = 436,244.22
  5. Step 5: Solve for x
    x = 436,244.22/728.65
  6. Step 6: Final answer
    x = 598.70

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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.