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Finding the Fourth Proportional to 749.96, 1,034.84 and 435.20

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Solution

The fourth proportional to 749.96, 1,034.84 and 435.20 is: 600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.96 : 1,034.84 = 435.20 : x
  2. Step 2: Convert to fraction form
    749.96/1,034.84 = 435.20/x
  3. Step 3: Cross multiply
    749.96x = 1,034.84 × 435.20
  4. Step 4: Simplify right side
    749.96x = 450,358.69
  5. Step 5: Solve for x
    x = 450,358.69/749.96
  6. Step 6: Final answer
    x = 600.51

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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.