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Finding the Fourth Proportional to 1,001.69, 1,502.66 and 514.86

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Solution

The fourth proportional to 1,001.69, 1,502.66 and 514.86 is: 772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.69 : 1,502.66 = 514.86 : x
  2. Step 2: Convert to fraction form
    1,001.69/1,502.66 = 514.86/x
  3. Step 3: Cross multiply
    1,001.69x = 1,502.66 × 514.86
  4. Step 4: Simplify right side
    1,001.69x = 773,660.81
  5. Step 5: Solve for x
    x = 773,660.81/1,001.69
  6. Step 6: Final answer
    x = 772.35

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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.