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Finding the Fourth Proportional to 749.89, 1,034.76 and 435.16

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Solution

The fourth proportional to 749.89, 1,034.76 and 435.16 is: 600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.89 : 1,034.76 = 435.16 : x
  2. Step 2: Convert to fraction form
    749.89/1,034.76 = 435.16/x
  3. Step 3: Cross multiply
    749.89x = 1,034.76 × 435.16
  4. Step 4: Simplify right side
    749.89x = 450,286.16
  5. Step 5: Solve for x
    x = 450,286.16/749.89
  6. Step 6: Final answer
    x = 600.47

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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.