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Finding the Fourth Proportional to 1,121.61, 1,547.82 and 624.27

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Solution

The fourth proportional to 1,121.61, 1,547.82 and 624.27 is: 861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.61 : 1,547.82 = 624.27 : x
  2. Step 2: Convert to fraction form
    1,121.61/1,547.82 = 624.27/x
  3. Step 3: Cross multiply
    1,121.61x = 1,547.82 × 624.27
  4. Step 4: Simplify right side
    1,121.61x = 966,257.59
  5. Step 5: Solve for x
    x = 966,257.59/1,121.61
  6. Step 6: Final answer
    x = 861.49

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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.