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Finding the Fourth Proportional to 871.93, 1,306.66 and 460.23

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Solution

The fourth proportional to 871.93, 1,306.66 and 460.23 is: 689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.93 : 1,306.66 = 460.23 : x
  2. Step 2: Convert to fraction form
    871.93/1,306.66 = 460.23/x
  3. Step 3: Cross multiply
    871.93x = 1,306.66 × 460.23
  4. Step 4: Simplify right side
    871.93x = 601,364.13
  5. Step 5: Solve for x
    x = 601,364.13/871.93
  6. Step 6: Final answer
    x = 689.69

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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.