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Finding the Fourth Proportional to 1,037.67, 1,557.08 and 460.53

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Solution

The fourth proportional to 1,037.67, 1,557.08 and 460.53 is: 691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.67 : 1,557.08 = 460.53 : x
  2. Step 2: Convert to fraction form
    1,037.67/1,557.08 = 460.53/x
  3. Step 3: Cross multiply
    1,037.67x = 1,557.08 × 460.53
  4. Step 4: Simplify right side
    1,037.67x = 717,079.75
  5. Step 5: Solve for x
    x = 717,079.75/1,037.67
  6. Step 6: Final answer
    x = 691.05

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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.