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Finding the Fourth Proportional to 675.75, 1,013.64 and 467.31

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Solution

The fourth proportional to 675.75, 1,013.64 and 467.31 is: 700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.75 : 1,013.64 = 467.31 : x
  2. Step 2: Convert to fraction form
    675.75/1,013.64 = 467.31/x
  3. Step 3: Cross multiply
    675.75x = 1,013.64 × 467.31
  4. Step 4: Simplify right side
    675.75x = 473,684.11
  5. Step 5: Solve for x
    x = 473,684.11/675.75
  6. Step 6: Final answer
    x = 700.98

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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.