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Finding the Fourth Proportional to 758.12, 1,046.16 and 478.26

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Solution

The fourth proportional to 758.12, 1,046.16 and 478.26 is: 659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.12 : 1,046.16 = 478.26 : x
  2. Step 2: Convert to fraction form
    758.12/1,046.16 = 478.26/x
  3. Step 3: Cross multiply
    758.12x = 1,046.16 × 478.26
  4. Step 4: Simplify right side
    758.12x = 500,336.48
  5. Step 5: Solve for x
    x = 500,336.48/758.12
  6. Step 6: Final answer
    x = 659.97

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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.