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Finding the Fourth Proportional to 1,534.70, 2,302.19 and 560.54

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Solution

The fourth proportional to 1,534.70, 2,302.19 and 560.54 is: 840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.70 : 2,302.19 = 560.54 : x
  2. Step 2: Convert to fraction form
    1,534.70/2,302.19 = 560.54/x
  3. Step 3: Cross multiply
    1,534.70x = 2,302.19 × 560.54
  4. Step 4: Simplify right side
    1,534.70x = 1,290,455.27
  5. Step 5: Solve for x
    x = 1,290,455.27/1,534.70
  6. Step 6: Final answer
    x = 840.85

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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.