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Finding the Fourth Proportional to 1,025.52, 1,415.20 and 559.76

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Solution

The fourth proportional to 1,025.52, 1,415.20 and 559.76 is: 772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.52 : 1,415.20 = 559.76 : x
  2. Step 2: Convert to fraction form
    1,025.52/1,415.20 = 559.76/x
  3. Step 3: Cross multiply
    1,025.52x = 1,415.20 × 559.76
  4. Step 4: Simplify right side
    1,025.52x = 792,172.35
  5. Step 5: Solve for x
    x = 792,172.35/1,025.52
  6. Step 6: Final answer
    x = 772.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.