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Finding the Fourth Proportional to 592.62, 887.10 and 505.14

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Solution

The fourth proportional to 592.62, 887.10 and 505.14 is: 756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.62 : 887.10 = 505.14 : x
  2. Step 2: Convert to fraction form
    592.62/887.10 = 505.14/x
  3. Step 3: Cross multiply
    592.62x = 887.10 × 505.14
  4. Step 4: Simplify right side
    592.62x = 448,109.69
  5. Step 5: Solve for x
    x = 448,109.69/592.62
  6. Step 6: Final answer
    x = 756.15

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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.