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Finding the Fourth Proportional to 1,097.86, 1,514.56 and 724.32

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Solution

The fourth proportional to 1,097.86, 1,514.56 and 724.32 is: 999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.86 : 1,514.56 = 724.32 : x
  2. Step 2: Convert to fraction form
    1,097.86/1,514.56 = 724.32/x
  3. Step 3: Cross multiply
    1,097.86x = 1,514.56 × 724.32
  4. Step 4: Simplify right side
    1,097.86x = 1,097,026.10
  5. Step 5: Solve for x
    x = 1,097,026.10/1,097.86
  6. Step 6: Final answer
    x = 999.24

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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.