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Finding the Fourth Proportional to 772.57, 1,157.31 and 464.26

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Solution

The fourth proportional to 772.57, 1,157.31 and 464.26 is: 695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.57 : 1,157.31 = 464.26 : x
  2. Step 2: Convert to fraction form
    772.57/1,157.31 = 464.26/x
  3. Step 3: Cross multiply
    772.57x = 1,157.31 × 464.26
  4. Step 4: Simplify right side
    772.57x = 537,290.07
  5. Step 5: Solve for x
    x = 537,290.07/772.57
  6. Step 6: Final answer
    x = 695.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.