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Finding the Fourth Proportional to 749.74, 1,034.59 and 418.16

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Solution

The fourth proportional to 749.74, 1,034.59 and 418.16 is: 577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.74 : 1,034.59 = 418.16 : x
  2. Step 2: Convert to fraction form
    749.74/1,034.59 = 418.16/x
  3. Step 3: Cross multiply
    749.74x = 1,034.59 × 418.16
  4. Step 4: Simplify right side
    749.74x = 432,624.15
  5. Step 5: Solve for x
    x = 432,624.15/749.74
  6. Step 6: Final answer
    x = 577.03

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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.