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Finding the Fourth Proportional to 672.24, 1,006.84 and 465.88

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Solution

The fourth proportional to 672.24, 1,006.84 and 465.88 is: 697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.24 : 1,006.84 = 465.88 : x
  2. Step 2: Convert to fraction form
    672.24/1,006.84 = 465.88/x
  3. Step 3: Cross multiply
    672.24x = 1,006.84 × 465.88
  4. Step 4: Simplify right side
    672.24x = 469,066.62
  5. Step 5: Solve for x
    x = 469,066.62/672.24
  6. Step 6: Final answer
    x = 697.77

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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.