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Finding the Fourth Proportional to 772.32, 1,157.30 and 463.83

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Solution

The fourth proportional to 772.32, 1,157.30 and 463.83 is: 695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.32 : 1,157.30 = 463.83 : x
  2. Step 2: Convert to fraction form
    772.32/1,157.30 = 463.83/x
  3. Step 3: Cross multiply
    772.32x = 1,157.30 × 463.83
  4. Step 4: Simplify right side
    772.32x = 536,788.15
  5. Step 5: Solve for x
    x = 536,788.15/772.32
  6. Step 6: Final answer
    x = 695.04

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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.