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Finding the Fourth Proportional to 1,017.08, 1,525.61 and 965.13

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Solution

The fourth proportional to 1,017.08, 1,525.61 and 965.13 is: 1,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.08 : 1,525.61 = 965.13 : x
  2. Step 2: Convert to fraction form
    1,017.08/1,525.61 = 965.13/x
  3. Step 3: Cross multiply
    1,017.08x = 1,525.61 × 965.13
  4. Step 4: Simplify right side
    1,017.08x = 1,472,422.90
  5. Step 5: Solve for x
    x = 1,472,422.90/1,017.08
  6. Step 6: Final answer
    x = 1,447.70

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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.