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Finding the Fourth Proportional to 1,001.70, 1,499.10 and 691.47

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Solution

The fourth proportional to 1,001.70, 1,499.10 and 691.47 is: 1,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.70 : 1,499.10 = 691.47 : x
  2. Step 2: Convert to fraction form
    1,001.70/1,499.10 = 691.47/x
  3. Step 3: Cross multiply
    1,001.70x = 1,499.10 × 691.47
  4. Step 4: Simplify right side
    1,001.70x = 1,036,582.68
  5. Step 5: Solve for x
    x = 1,036,582.68/1,001.70
  6. Step 6: Final answer
    x = 1,034.82

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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.