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Finding the Fourth Proportional to 1,031.15, 1,422.97 and 559.04

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Solution

The fourth proportional to 1,031.15, 1,422.97 and 559.04 is: 771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.15 : 1,422.97 = 559.04 : x
  2. Step 2: Convert to fraction form
    1,031.15/1,422.97 = 559.04/x
  3. Step 3: Cross multiply
    1,031.15x = 1,422.97 × 559.04
  4. Step 4: Simplify right side
    1,031.15x = 795,497.15
  5. Step 5: Solve for x
    x = 795,497.15/1,031.15
  6. Step 6: Final answer
    x = 771.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.