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Finding the Fourth Proportional to 1,031.89, 1,423.36 and 677.83

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Solution

The fourth proportional to 1,031.89, 1,423.36 and 677.83 is: 934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.89 : 1,423.36 = 677.83 : x
  2. Step 2: Convert to fraction form
    1,031.89/1,423.36 = 677.83/x
  3. Step 3: Cross multiply
    1,031.89x = 1,423.36 × 677.83
  4. Step 4: Simplify right side
    1,031.89x = 964,796.11
  5. Step 5: Solve for x
    x = 964,796.11/1,031.89
  6. Step 6: Final answer
    x = 934.98

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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.