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Finding the Fourth Proportional to 749.03, 1,033.62 and 417.46

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Solution

The fourth proportional to 749.03, 1,033.62 and 417.46 is: 576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.03 : 1,033.62 = 417.46 : x
  2. Step 2: Convert to fraction form
    749.03/1,033.62 = 417.46/x
  3. Step 3: Cross multiply
    749.03x = 1,033.62 × 417.46
  4. Step 4: Simplify right side
    749.03x = 431,495.01
  5. Step 5: Solve for x
    x = 431,495.01/749.03
  6. Step 6: Final answer
    x = 576.07

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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.