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Finding the Fourth Proportional to 876.53, 1,313.06 and 546.66

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Solution

The fourth proportional to 876.53, 1,313.06 and 546.66 is: 818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.53 : 1,313.06 = 546.66 : x
  2. Step 2: Convert to fraction form
    876.53/1,313.06 = 546.66/x
  3. Step 3: Cross multiply
    876.53x = 1,313.06 × 546.66
  4. Step 4: Simplify right side
    876.53x = 717,794.65
  5. Step 5: Solve for x
    x = 717,794.65/876.53
  6. Step 6: Final answer
    x = 818.91

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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.