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Finding the Fourth Proportional to 1,248.37, 1,722.76 and 688.82

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Solution

The fourth proportional to 1,248.37, 1,722.76 and 688.82 is: 950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.37 : 1,722.76 = 688.82 : x
  2. Step 2: Convert to fraction form
    1,248.37/1,722.76 = 688.82/x
  3. Step 3: Cross multiply
    1,248.37x = 1,722.76 × 688.82
  4. Step 4: Simplify right side
    1,248.37x = 1,186,671.54
  5. Step 5: Solve for x
    x = 1,186,671.54/1,248.37
  6. Step 6: Final answer
    x = 950.58

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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.