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Finding the Fourth Proportional to 675.46, 1,011.12 and 468.82

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Solution

The fourth proportional to 675.46, 1,011.12 and 468.82 is: 701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.46 : 1,011.12 = 468.82 : x
  2. Step 2: Convert to fraction form
    675.46/1,011.12 = 468.82/x
  3. Step 3: Cross multiply
    675.46x = 1,011.12 × 468.82
  4. Step 4: Simplify right side
    675.46x = 474,033.28
  5. Step 5: Solve for x
    x = 474,033.28/675.46
  6. Step 6: Final answer
    x = 701.79

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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.