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Finding the Fourth Proportional to 907.56, 1,358.82 and 467.88

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Solution

The fourth proportional to 907.56, 1,358.82 and 467.88 is: 700.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.56 : 1,358.82 = 467.88 : x
  2. Step 2: Convert to fraction form
    907.56/1,358.82 = 467.88/x
  3. Step 3: Cross multiply
    907.56x = 1,358.82 × 467.88
  4. Step 4: Simplify right side
    907.56x = 635,764.70
  5. Step 5: Solve for x
    x = 635,764.70/907.56
  6. Step 6: Final answer
    x = 700.52

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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.