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Finding the Fourth Proportional to 749.60, 1,033.02 and 562.62

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Solution

The fourth proportional to 749.60, 1,033.02 and 562.62 is: 775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.60 : 1,033.02 = 562.62 : x
  2. Step 2: Convert to fraction form
    749.60/1,033.02 = 562.62/x
  3. Step 3: Cross multiply
    749.60x = 1,033.02 × 562.62
  4. Step 4: Simplify right side
    749.60x = 581,197.71
  5. Step 5: Solve for x
    x = 581,197.71/749.60
  6. Step 6: Final answer
    x = 775.34

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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.