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Finding the Fourth Proportional to 1,120.78, 1,545.63 and 700.99

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Solution

The fourth proportional to 1,120.78, 1,545.63 and 700.99 is: 966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.78 : 1,545.63 = 700.99 : x
  2. Step 2: Convert to fraction form
    1,120.78/1,545.63 = 700.99/x
  3. Step 3: Cross multiply
    1,120.78x = 1,545.63 × 700.99
  4. Step 4: Simplify right side
    1,120.78x = 1,083,471.17
  5. Step 5: Solve for x
    x = 1,083,471.17/1,120.78
  6. Step 6: Final answer
    x = 966.72

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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.