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Finding the Fourth Proportional to 1,025.76, 1,415.55 and 560.01

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Solution

The fourth proportional to 1,025.76, 1,415.55 and 560.01 is: 772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.76 : 1,415.55 = 560.01 : x
  2. Step 2: Convert to fraction form
    1,025.76/1,415.55 = 560.01/x
  3. Step 3: Cross multiply
    1,025.76x = 1,415.55 × 560.01
  4. Step 4: Simplify right side
    1,025.76x = 792,722.16
  5. Step 5: Solve for x
    x = 792,722.16/1,025.76
  6. Step 6: Final answer
    x = 772.81

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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.