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Finding the Fourth Proportional to 748.04, 1,032.34 and 416.46

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Solution

The fourth proportional to 748.04, 1,032.34 and 416.46 is: 574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.04 : 1,032.34 = 416.46 : x
  2. Step 2: Convert to fraction form
    748.04/1,032.34 = 416.46/x
  3. Step 3: Cross multiply
    748.04x = 1,032.34 × 416.46
  4. Step 4: Simplify right side
    748.04x = 429,928.32
  5. Step 5: Solve for x
    x = 429,928.32/748.04
  6. Step 6: Final answer
    x = 574.74

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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.