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Finding the Fourth Proportional to 758.88, 1,047.15 and 464.10

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Solution

The fourth proportional to 758.88, 1,047.15 and 464.10 is: 640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.88 : 1,047.15 = 464.10 : x
  2. Step 2: Convert to fraction form
    758.88/1,047.15 = 464.10/x
  3. Step 3: Cross multiply
    758.88x = 1,047.15 × 464.10
  4. Step 4: Simplify right side
    758.88x = 485,982.32
  5. Step 5: Solve for x
    x = 485,982.32/758.88
  6. Step 6: Final answer
    x = 640.39

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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.