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Finding the Fourth Proportional to 762.53, 1,142.17 and 646.70

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Solution

The fourth proportional to 762.53, 1,142.17 and 646.70 is: 968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.53 : 1,142.17 = 646.70 : x
  2. Step 2: Convert to fraction form
    762.53/1,142.17 = 646.70/x
  3. Step 3: Cross multiply
    762.53x = 1,142.17 × 646.70
  4. Step 4: Simplify right side
    762.53x = 738,634.01
  5. Step 5: Solve for x
    x = 738,634.01/762.53
  6. Step 6: Final answer
    x = 968.67

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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.