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Finding the Fourth Proportional to 758.90, 1,047.14 and 464.24

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Solution

The fourth proportional to 758.90, 1,047.14 and 464.24 is: 640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.90 : 1,047.14 = 464.24 : x
  2. Step 2: Convert to fraction form
    758.90/1,047.14 = 464.24/x
  3. Step 3: Cross multiply
    758.90x = 1,047.14 × 464.24
  4. Step 4: Simplify right side
    758.90x = 486,124.27
  5. Step 5: Solve for x
    x = 486,124.27/758.90
  6. Step 6: Final answer
    x = 640.56

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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.