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Finding the Fourth Proportional to 775.34, 1,162.16 and 592.14

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Solution

The fourth proportional to 775.34, 1,162.16 and 592.14 is: 887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.34 : 1,162.16 = 592.14 : x
  2. Step 2: Convert to fraction form
    775.34/1,162.16 = 592.14/x
  3. Step 3: Cross multiply
    775.34x = 1,162.16 × 592.14
  4. Step 4: Simplify right side
    775.34x = 688,161.42
  5. Step 5: Solve for x
    x = 688,161.42/775.34
  6. Step 6: Final answer
    x = 887.56

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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.