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Finding the Fourth Proportional to 891.69, 1,337.53 and 506.13

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Solution

The fourth proportional to 891.69, 1,337.53 and 506.13 is: 759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.69 : 1,337.53 = 506.13 : x
  2. Step 2: Convert to fraction form
    891.69/1,337.53 = 506.13/x
  3. Step 3: Cross multiply
    891.69x = 1,337.53 × 506.13
  4. Step 4: Simplify right side
    891.69x = 676,956.11
  5. Step 5: Solve for x
    x = 676,956.11/891.69
  6. Step 6: Final answer
    x = 759.19

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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.