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Finding the Fourth Proportional to 772.10, 1,158.76 and 464.30

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Solution

The fourth proportional to 772.10, 1,158.76 and 464.30 is: 696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.10 : 1,158.76 = 464.30 : x
  2. Step 2: Convert to fraction form
    772.10/1,158.76 = 464.30/x
  3. Step 3: Cross multiply
    772.10x = 1,158.76 × 464.30
  4. Step 4: Simplify right side
    772.10x = 538,012.27
  5. Step 5: Solve for x
    x = 538,012.27/772.10
  6. Step 6: Final answer
    x = 696.82

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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.