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Finding the Fourth Proportional to 1,031.55, 1,423.71 and 611.88

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Solution

The fourth proportional to 1,031.55, 1,423.71 and 611.88 is: 844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.55 : 1,423.71 = 611.88 : x
  2. Step 2: Convert to fraction form
    1,031.55/1,423.71 = 611.88/x
  3. Step 3: Cross multiply
    1,031.55x = 1,423.71 × 611.88
  4. Step 4: Simplify right side
    1,031.55x = 871,139.67
  5. Step 5: Solve for x
    x = 871,139.67/1,031.55
  6. Step 6: Final answer
    x = 844.50

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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.