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Finding the Fourth Proportional to 1,017.74, 1,526.68 and 324.38

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Solution

The fourth proportional to 1,017.74, 1,526.68 and 324.38 is: 486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.74 : 1,526.68 = 324.38 : x
  2. Step 2: Convert to fraction form
    1,017.74/1,526.68 = 324.38/x
  3. Step 3: Cross multiply
    1,017.74x = 1,526.68 × 324.38
  4. Step 4: Simplify right side
    1,017.74x = 495,224.46
  5. Step 5: Solve for x
    x = 495,224.46/1,017.74
  6. Step 6: Final answer
    x = 486.59

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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.