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Finding the Fourth Proportional to 991.40, 1,488.30 and 627.70

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Solution

The fourth proportional to 991.40, 1,488.30 and 627.70 is: 942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.40 : 1,488.30 = 627.70 : x
  2. Step 2: Convert to fraction form
    991.40/1,488.30 = 627.70/x
  3. Step 3: Cross multiply
    991.40x = 1,488.30 × 627.70
  4. Step 4: Simplify right side
    991.40x = 934,205.91
  5. Step 5: Solve for x
    x = 934,205.91/991.40
  6. Step 6: Final answer
    x = 942.31

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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.