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Finding the Fourth Proportional to 1,537.71, 2,306.70 and 497.82

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Solution

The fourth proportional to 1,537.71, 2,306.70 and 497.82 is: 746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.71 : 2,306.70 = 497.82 : x
  2. Step 2: Convert to fraction form
    1,537.71/2,306.70 = 497.82/x
  3. Step 3: Cross multiply
    1,537.71x = 2,306.70 × 497.82
  4. Step 4: Simplify right side
    1,537.71x = 1,148,321.39
  5. Step 5: Solve for x
    x = 1,148,321.39/1,537.71
  6. Step 6: Final answer
    x = 746.77

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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.