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Finding the Fourth Proportional to 1,065.97, 1,598.17 and 718.44

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Solution

The fourth proportional to 1,065.97, 1,598.17 and 718.44 is: 1,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.97 : 1,598.17 = 718.44 : x
  2. Step 2: Convert to fraction form
    1,065.97/1,598.17 = 718.44/x
  3. Step 3: Cross multiply
    1,065.97x = 1,598.17 × 718.44
  4. Step 4: Simplify right side
    1,065.97x = 1,148,189.25
  5. Step 5: Solve for x
    x = 1,148,189.25/1,065.97
  6. Step 6: Final answer
    x = 1,077.13

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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.