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Finding the Fourth Proportional to 592.56, 887.16 and 514.08

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Solution

The fourth proportional to 592.56, 887.16 and 514.08 is: 769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.56 : 887.16 = 514.08 : x
  2. Step 2: Convert to fraction form
    592.56/887.16 = 514.08/x
  3. Step 3: Cross multiply
    592.56x = 887.16 × 514.08
  4. Step 4: Simplify right side
    592.56x = 456,071.21
  5. Step 5: Solve for x
    x = 456,071.21/592.56
  6. Step 6: Final answer
    x = 769.66

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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.