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Finding the Fourth Proportional to 983.41, 1,357.10 and 688.57

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Solution

The fourth proportional to 983.41, 1,357.10 and 688.57 is: 950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.41 : 1,357.10 = 688.57 : x
  2. Step 2: Convert to fraction form
    983.41/1,357.10 = 688.57/x
  3. Step 3: Cross multiply
    983.41x = 1,357.10 × 688.57
  4. Step 4: Simplify right side
    983.41x = 934,454.90
  5. Step 5: Solve for x
    x = 934,454.90/983.41
  6. Step 6: Final answer
    x = 950.22

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Why These Related Problems?

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