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Finding the Fourth Proportional to 749.44, 1,036.25 and 657.19

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Solution

The fourth proportional to 749.44, 1,036.25 and 657.19 is: 908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.44 : 1,036.25 = 657.19 : x
  2. Step 2: Convert to fraction form
    749.44/1,036.25 = 657.19/x
  3. Step 3: Cross multiply
    749.44x = 1,036.25 × 657.19
  4. Step 4: Simplify right side
    749.44x = 681,013.14
  5. Step 5: Solve for x
    x = 681,013.14/749.44
  6. Step 6: Final answer
    x = 908.70

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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.