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Finding the Fourth Proportional to 749.72, 1,034.69 and 639.16

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Solution

The fourth proportional to 749.72, 1,034.69 and 639.16 is: 882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.72 : 1,034.69 = 639.16 : x
  2. Step 2: Convert to fraction form
    749.72/1,034.69 = 639.16/x
  3. Step 3: Cross multiply
    749.72x = 1,034.69 × 639.16
  4. Step 4: Simplify right side
    749.72x = 661,332.46
  5. Step 5: Solve for x
    x = 661,332.46/749.72
  6. Step 6: Final answer
    x = 882.11

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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.