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Finding the Fourth Proportional to 1,122.10, 1,547.91 and 679.92

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Solution

The fourth proportional to 1,122.10, 1,547.91 and 679.92 is: 937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.10 : 1,547.91 = 679.92 : x
  2. Step 2: Convert to fraction form
    1,122.10/1,547.91 = 679.92/x
  3. Step 3: Cross multiply
    1,122.10x = 1,547.91 × 679.92
  4. Step 4: Simplify right side
    1,122.10x = 1,052,453.52
  5. Step 5: Solve for x
    x = 1,052,453.52/1,122.10
  6. Step 6: Final answer
    x = 937.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.