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Finding the Fourth Proportional to 675.92, 932.13 and 587.34

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Solution

The fourth proportional to 675.92, 932.13 and 587.34 is: 809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.92 : 932.13 = 587.34 : x
  2. Step 2: Convert to fraction form
    675.92/932.13 = 587.34/x
  3. Step 3: Cross multiply
    675.92x = 932.13 × 587.34
  4. Step 4: Simplify right side
    675.92x = 547,477.58
  5. Step 5: Solve for x
    x = 547,477.58/675.92
  6. Step 6: Final answer
    x = 809.97

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1.5x scale

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.