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Finding the Fourth Proportional to 1,534.98, 2,302.79 and 495.12

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Solution

The fourth proportional to 1,534.98, 2,302.79 and 495.12 is: 742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.98 : 2,302.79 = 495.12 : x
  2. Step 2: Convert to fraction form
    1,534.98/2,302.79 = 495.12/x
  3. Step 3: Cross multiply
    1,534.98x = 2,302.79 × 495.12
  4. Step 4: Simplify right side
    1,534.98x = 1,140,154.91
  5. Step 5: Solve for x
    x = 1,140,154.91/1,534.98
  6. Step 6: Final answer
    x = 742.78

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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.