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Finding the Fourth Proportional to 762.32, 1,052.87 and 514.67

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Solution

The fourth proportional to 762.32, 1,052.87 and 514.67 is: 710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.32 : 1,052.87 = 514.67 : x
  2. Step 2: Convert to fraction form
    762.32/1,052.87 = 514.67/x
  3. Step 3: Cross multiply
    762.32x = 1,052.87 × 514.67
  4. Step 4: Simplify right side
    762.32x = 541,872.77
  5. Step 5: Solve for x
    x = 541,872.77/762.32
  6. Step 6: Final answer
    x = 710.82

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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.