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Finding the Fourth Proportional to 839.59, 1,158.55 and 466.54

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Solution

The fourth proportional to 839.59, 1,158.55 and 466.54 is: 643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.59 : 1,158.55 = 466.54 : x
  2. Step 2: Convert to fraction form
    839.59/1,158.55 = 466.54/x
  3. Step 3: Cross multiply
    839.59x = 1,158.55 × 466.54
  4. Step 4: Simplify right side
    839.59x = 540,509.92
  5. Step 5: Solve for x
    x = 540,509.92/839.59
  6. Step 6: Final answer
    x = 643.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.