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Finding the Fourth Proportional to 1,025.66, 1,415.44 and 559.91

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Solution

The fourth proportional to 1,025.66, 1,415.44 and 559.91 is: 772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.66 : 1,415.44 = 559.91 : x
  2. Step 2: Convert to fraction form
    1,025.66/1,415.44 = 559.91/x
  3. Step 3: Cross multiply
    1,025.66x = 1,415.44 × 559.91
  4. Step 4: Simplify right side
    1,025.66x = 792,511.93
  5. Step 5: Solve for x
    x = 792,511.93/1,025.66
  6. Step 6: Final answer
    x = 772.69

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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.