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Finding the Fourth Proportional to 1,122.28, 1,547.98 and 1,029.33

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Solution

The fourth proportional to 1,122.28, 1,547.98 and 1,029.33 is: 1,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.28 : 1,547.98 = 1,029.33 : x
  2. Step 2: Convert to fraction form
    1,122.28/1,547.98 = 1,029.33/x
  3. Step 3: Cross multiply
    1,122.28x = 1,547.98 × 1,029.33
  4. Step 4: Simplify right side
    1,122.28x = 1,593,379.68
  5. Step 5: Solve for x
    x = 1,593,379.68/1,122.28
  6. Step 6: Final answer
    x = 1,419.77

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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.