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Finding the Fourth Proportional to 1,697.70, 2,547.18 and 724.56

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Solution

The fourth proportional to 1,697.70, 2,547.18 and 724.56 is: 1,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.70 : 2,547.18 = 724.56 : x
  2. Step 2: Convert to fraction form
    1,697.70/2,547.18 = 724.56/x
  3. Step 3: Cross multiply
    1,697.70x = 2,547.18 × 724.56
  4. Step 4: Simplify right side
    1,697.70x = 1,845,584.74
  5. Step 5: Solve for x
    x = 1,845,584.74/1,697.70
  6. Step 6: Final answer
    x = 1,087.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.