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Finding the Fourth Proportional to 937.12, 1,293.12 and 642.88

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Solution

The fourth proportional to 937.12, 1,293.12 and 642.88 is: 887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.12 : 1,293.12 = 642.88 : x
  2. Step 2: Convert to fraction form
    937.12/1,293.12 = 642.88/x
  3. Step 3: Cross multiply
    937.12x = 1,293.12 × 642.88
  4. Step 4: Simplify right side
    937.12x = 831,320.99
  5. Step 5: Solve for x
    x = 831,320.99/937.12
  6. Step 6: Final answer
    x = 887.10

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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.