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Finding the Fourth Proportional to 1,036.74, 1,545.86 and 922.26

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Solution

The fourth proportional to 1,036.74, 1,545.86 and 922.26 is: 1,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.74 : 1,545.86 = 922.26 : x
  2. Step 2: Convert to fraction form
    1,036.74/1,545.86 = 922.26/x
  3. Step 3: Cross multiply
    1,036.74x = 1,545.86 × 922.26
  4. Step 4: Simplify right side
    1,036.74x = 1,425,680.23
  5. Step 5: Solve for x
    x = 1,425,680.23/1,036.74
  6. Step 6: Final answer
    x = 1,375.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.