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Finding the Fourth Proportional to 773.56, 1,158.98 and 407.48

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Solution

The fourth proportional to 773.56, 1,158.98 and 407.48 is: 610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.56 : 1,158.98 = 407.48 : x
  2. Step 2: Convert to fraction form
    773.56/1,158.98 = 407.48/x
  3. Step 3: Cross multiply
    773.56x = 1,158.98 × 407.48
  4. Step 4: Simplify right side
    773.56x = 472,261.17
  5. Step 5: Solve for x
    x = 472,261.17/773.56
  6. Step 6: Final answer
    x = 610.50

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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.