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Finding the Fourth Proportional to 1,237.70, 1,856.12 and 457.53

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Solution

The fourth proportional to 1,237.70, 1,856.12 and 457.53 is: 686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.70 : 1,856.12 = 457.53 : x
  2. Step 2: Convert to fraction form
    1,237.70/1,856.12 = 457.53/x
  3. Step 3: Cross multiply
    1,237.70x = 1,856.12 × 457.53
  4. Step 4: Simplify right side
    1,237.70x = 849,228.30
  5. Step 5: Solve for x
    x = 849,228.30/1,237.70
  6. Step 6: Final answer
    x = 686.14

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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.