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Finding the Fourth Proportional to 1,120.26, 1,545.90 and 678.06

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Solution

The fourth proportional to 1,120.26, 1,545.90 and 678.06 is: 935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.26 : 1,545.90 = 678.06 : x
  2. Step 2: Convert to fraction form
    1,120.26/1,545.90 = 678.06/x
  3. Step 3: Cross multiply
    1,120.26x = 1,545.90 × 678.06
  4. Step 4: Simplify right side
    1,120.26x = 1,048,212.95
  5. Step 5: Solve for x
    x = 1,048,212.95/1,120.26
  6. Step 6: Final answer
    x = 935.69

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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.