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Finding the Fourth Proportional to 761.01, 1,049.65 and 466.42

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Solution

The fourth proportional to 761.01, 1,049.65 and 466.42 is: 643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.01 : 1,049.65 = 466.42 : x
  2. Step 2: Convert to fraction form
    761.01/1,049.65 = 466.42/x
  3. Step 3: Cross multiply
    761.01x = 1,049.65 × 466.42
  4. Step 4: Simplify right side
    761.01x = 489,572.50
  5. Step 5: Solve for x
    x = 489,572.50/761.01
  6. Step 6: Final answer
    x = 643.32

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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.