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Finding the Fourth Proportional to 749.26, 1,034.00 and 434.53

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Solution

The fourth proportional to 749.26, 1,034.00 and 434.53 is: 599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.26 : 1,034.00 = 434.53 : x
  2. Step 2: Convert to fraction form
    749.26/1,034.00 = 434.53/x
  3. Step 3: Cross multiply
    749.26x = 1,034.00 × 434.53
  4. Step 4: Simplify right side
    749.26x = 449,304.77
  5. Step 5: Solve for x
    x = 449,304.77/749.26
  6. Step 6: Final answer
    x = 599.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.