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Finding the Fourth Proportional to 1,026.53, 1,540.14 and 563.72

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Solution

The fourth proportional to 1,026.53, 1,540.14 and 563.72 is: 845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.53 : 1,540.14 = 563.72 : x
  2. Step 2: Convert to fraction form
    1,026.53/1,540.14 = 563.72/x
  3. Step 3: Cross multiply
    1,026.53x = 1,540.14 × 563.72
  4. Step 4: Simplify right side
    1,026.53x = 868,200.02
  5. Step 5: Solve for x
    x = 868,200.02/1,026.53
  6. Step 6: Final answer
    x = 845.77

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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.