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Finding the Fourth Proportional to 1,534.56, 2,302.14 and 560.53

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Solution

The fourth proportional to 1,534.56, 2,302.14 and 560.53 is: 840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.56 : 2,302.14 = 560.53 : x
  2. Step 2: Convert to fraction form
    1,534.56/2,302.14 = 560.53/x
  3. Step 3: Cross multiply
    1,534.56x = 2,302.14 × 560.53
  4. Step 4: Simplify right side
    1,534.56x = 1,290,415.73
  5. Step 5: Solve for x
    x = 1,290,415.73/1,534.56
  6. Step 6: Final answer
    x = 840.91

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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.