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Finding the Fourth Proportional to 1,237.58, 1,856.70 and 457.68

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Solution

The fourth proportional to 1,237.58, 1,856.70 and 457.68 is: 686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.58 : 1,856.70 = 457.68 : x
  2. Step 2: Convert to fraction form
    1,237.58/1,856.70 = 457.68/x
  3. Step 3: Cross multiply
    1,237.58x = 1,856.70 × 457.68
  4. Step 4: Simplify right side
    1,237.58x = 849,774.46
  5. Step 5: Solve for x
    x = 849,774.46/1,237.58
  6. Step 6: Final answer
    x = 686.64

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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.