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Finding the Fourth Proportional to 749.30, 1,033.75 and 454.46

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Solution

The fourth proportional to 749.30, 1,033.75 and 454.46 is: 626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.30 : 1,033.75 = 454.46 : x
  2. Step 2: Convert to fraction form
    749.30/1,033.75 = 454.46/x
  3. Step 3: Cross multiply
    749.30x = 1,033.75 × 454.46
  4. Step 4: Simplify right side
    749.30x = 469,798.03
  5. Step 5: Solve for x
    x = 469,798.03/749.30
  6. Step 6: Final answer
    x = 626.98

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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.