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Finding the Fourth Proportional to 758.71, 1,046.48 and 464.14

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Solution

The fourth proportional to 758.71, 1,046.48 and 464.14 is: 640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.71 : 1,046.48 = 464.14 : x
  2. Step 2: Convert to fraction form
    758.71/1,046.48 = 464.14/x
  3. Step 3: Cross multiply
    758.71x = 1,046.48 × 464.14
  4. Step 4: Simplify right side
    758.71x = 485,713.23
  5. Step 5: Solve for x
    x = 485,713.23/758.71
  6. Step 6: Final answer
    x = 640.18

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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.