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Finding the Fourth Proportional to 1,508.70, 2,262.57 and 534.57

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Solution

The fourth proportional to 1,508.70, 2,262.57 and 534.57 is: 801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.70 : 2,262.57 = 534.57 : x
  2. Step 2: Convert to fraction form
    1,508.70/2,262.57 = 534.57/x
  3. Step 3: Cross multiply
    1,508.70x = 2,262.57 × 534.57
  4. Step 4: Simplify right side
    1,508.70x = 1,209,502.04
  5. Step 5: Solve for x
    x = 1,209,502.04/1,508.70
  6. Step 6: Final answer
    x = 801.68

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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.