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Finding the Fourth Proportional to 839.65, 1,158.66 and 466.61

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Solution

The fourth proportional to 839.65, 1,158.66 and 466.61 is: 643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.65 : 1,158.66 = 466.61 : x
  2. Step 2: Convert to fraction form
    839.65/1,158.66 = 466.61/x
  3. Step 3: Cross multiply
    839.65x = 1,158.66 × 466.61
  4. Step 4: Simplify right side
    839.65x = 540,639.75
  5. Step 5: Solve for x
    x = 540,639.75/839.65
  6. Step 6: Final answer
    x = 643.89

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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.