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Finding the Fourth Proportional to 758.24, 1,046.40 and 463.64

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Solution

The fourth proportional to 758.24, 1,046.40 and 463.64 is: 639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.24 : 1,046.40 = 463.64 : x
  2. Step 2: Convert to fraction form
    758.24/1,046.40 = 463.64/x
  3. Step 3: Cross multiply
    758.24x = 1,046.40 × 463.64
  4. Step 4: Simplify right side
    758.24x = 485,152.90
  5. Step 5: Solve for x
    x = 485,152.90/758.24
  6. Step 6: Final answer
    x = 639.84

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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.