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Finding the Fourth Proportional to 749.06, 1,033.58 and 417.48

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Solution

The fourth proportional to 749.06, 1,033.58 and 417.48 is: 576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.06 : 1,033.58 = 417.48 : x
  2. Step 2: Convert to fraction form
    749.06/1,033.58 = 417.48/x
  3. Step 3: Cross multiply
    749.06x = 1,033.58 × 417.48
  4. Step 4: Simplify right side
    749.06x = 431,498.98
  5. Step 5: Solve for x
    x = 431,498.98/749.06
  6. Step 6: Final answer
    x = 576.05

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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.