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Finding the Fourth Proportional to 1,017.28, 1,525.95 and 439.78

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Solution

The fourth proportional to 1,017.28, 1,525.95 and 439.78 is: 659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.28 : 1,525.95 = 439.78 : x
  2. Step 2: Convert to fraction form
    1,017.28/1,525.95 = 439.78/x
  3. Step 3: Cross multiply
    1,017.28x = 1,525.95 × 439.78
  4. Step 4: Simplify right side
    1,017.28x = 671,082.29
  5. Step 5: Solve for x
    x = 671,082.29/1,017.28
  6. Step 6: Final answer
    x = 659.68

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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.