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Finding the Fourth Proportional to 907.32, 1,250.34 and 658.20

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Solution

The fourth proportional to 907.32, 1,250.34 and 658.20 is: 907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.32 : 1,250.34 = 658.20 : x
  2. Step 2: Convert to fraction form
    907.32/1,250.34 = 658.20/x
  3. Step 3: Cross multiply
    907.32x = 1,250.34 × 658.20
  4. Step 4: Simplify right side
    907.32x = 822,973.79
  5. Step 5: Solve for x
    x = 822,973.79/907.32
  6. Step 6: Final answer
    x = 907.04

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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.