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Finding the Fourth Proportional to 1,097.01, 1,514.16 and 724.01

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Solution

The fourth proportional to 1,097.01, 1,514.16 and 724.01 is: 999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.01 : 1,514.16 = 724.01 : x
  2. Step 2: Convert to fraction form
    1,097.01/1,514.16 = 724.01/x
  3. Step 3: Cross multiply
    1,097.01x = 1,514.16 × 724.01
  4. Step 4: Simplify right side
    1,097.01x = 1,096,259.41
  5. Step 5: Solve for x
    x = 1,096,259.41/1,097.01
  6. Step 6: Final answer
    x = 999.32

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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.