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Finding the Fourth Proportional to 773.47, 1,158.99 and 464.59

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Solution

The fourth proportional to 773.47, 1,158.99 and 464.59 is: 696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.47 : 1,158.99 = 464.59 : x
  2. Step 2: Convert to fraction form
    773.47/1,158.99 = 464.59/x
  3. Step 3: Cross multiply
    773.47x = 1,158.99 × 464.59
  4. Step 4: Simplify right side
    773.47x = 538,455.16
  5. Step 5: Solve for x
    x = 538,455.16/773.47
  6. Step 6: Final answer
    x = 696.16

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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.