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Finding the Fourth Proportional to 1,537.76, 2,306.74 and 442.13

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Solution

The fourth proportional to 1,537.76, 2,306.74 and 442.13 is: 663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.76 : 2,306.74 = 442.13 : x
  2. Step 2: Convert to fraction form
    1,537.76/2,306.74 = 442.13/x
  3. Step 3: Cross multiply
    1,537.76x = 2,306.74 × 442.13
  4. Step 4: Simplify right side
    1,537.76x = 1,019,883.62
  5. Step 5: Solve for x
    x = 1,019,883.62/1,537.76
  6. Step 6: Final answer
    x = 663.23

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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.