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Finding the Fourth Proportional to 749.71, 1,034.65 and 418.14

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Solution

The fourth proportional to 749.71, 1,034.65 and 418.14 is: 577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.71 : 1,034.65 = 418.14 : x
  2. Step 2: Convert to fraction form
    749.71/1,034.65 = 418.14/x
  3. Step 3: Cross multiply
    749.71x = 1,034.65 × 418.14
  4. Step 4: Simplify right side
    749.71x = 432,628.55
  5. Step 5: Solve for x
    x = 432,628.55/749.71
  6. Step 6: Final answer
    x = 577.06

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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.