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Finding the Fourth Proportional to 749.69, 1,034.06 and 687.72

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Solution

The fourth proportional to 749.69, 1,034.06 and 687.72 is: 948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.69 : 1,034.06 = 687.72 : x
  2. Step 2: Convert to fraction form
    749.69/1,034.06 = 687.72/x
  3. Step 3: Cross multiply
    749.69x = 1,034.06 × 687.72
  4. Step 4: Simplify right side
    749.69x = 711,140.30
  5. Step 5: Solve for x
    x = 711,140.30/749.69
  6. Step 6: Final answer
    x = 948.59

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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.