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Finding the Fourth Proportional to 1,017.92, 1,526.91 and 324.66

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Solution

The fourth proportional to 1,017.92, 1,526.91 and 324.66 is: 487.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.92 : 1,526.91 = 324.66 : x
  2. Step 2: Convert to fraction form
    1,017.92/1,526.91 = 324.66/x
  3. Step 3: Cross multiply
    1,017.92x = 1,526.91 × 324.66
  4. Step 4: Simplify right side
    1,017.92x = 495,726.60
  5. Step 5: Solve for x
    x = 495,726.60/1,017.92
  6. Step 6: Final answer
    x = 487.00

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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.