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Finding the Fourth Proportional to 761.06, 1,049.96 and 466.22

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Solution

The fourth proportional to 761.06, 1,049.96 and 466.22 is: 643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.06 : 1,049.96 = 466.22 : x
  2. Step 2: Convert to fraction form
    761.06/1,049.96 = 466.22/x
  3. Step 3: Cross multiply
    761.06x = 1,049.96 × 466.22
  4. Step 4: Simplify right side
    761.06x = 489,516.14
  5. Step 5: Solve for x
    x = 489,516.14/761.06
  6. Step 6: Final answer
    x = 643.20

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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.