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Finding the Fourth Proportional to 672.71, 927.65 and 507.47

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Solution

The fourth proportional to 672.71, 927.65 and 507.47 is: 699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.71 : 927.65 = 507.47 : x
  2. Step 2: Convert to fraction form
    672.71/927.65 = 507.47/x
  3. Step 3: Cross multiply
    672.71x = 927.65 × 507.47
  4. Step 4: Simplify right side
    672.71x = 470,751.18
  5. Step 5: Solve for x
    x = 470,751.18/672.71
  6. Step 6: Final answer
    x = 699.79

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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.