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Finding the Fourth Proportional to 1,534.74, 2,301.63 and 439.14

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Solution

The fourth proportional to 1,534.74, 2,301.63 and 439.14 is: 658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.74 : 2,301.63 = 439.14 : x
  2. Step 2: Convert to fraction form
    1,534.74/2,301.63 = 439.14/x
  3. Step 3: Cross multiply
    1,534.74x = 2,301.63 × 439.14
  4. Step 4: Simplify right side
    1,534.74x = 1,010,737.80
  5. Step 5: Solve for x
    x = 1,010,737.80/1,534.74
  6. Step 6: Final answer
    x = 658.57

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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.