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Finding the Fourth Proportional to 1,115.92, 1,547.50 and 1,080.28

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Solution

The fourth proportional to 1,115.92, 1,547.50 and 1,080.28 is: 1,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.92 : 1,547.50 = 1,080.28 : x
  2. Step 2: Convert to fraction form
    1,115.92/1,547.50 = 1,080.28/x
  3. Step 3: Cross multiply
    1,115.92x = 1,547.50 × 1,080.28
  4. Step 4: Simplify right side
    1,115.92x = 1,671,733.30
  5. Step 5: Solve for x
    x = 1,671,733.30/1,115.92
  6. Step 6: Final answer
    x = 1,498.08

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.