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Finding the Fourth Proportional to 873.89, 1,308.51 and 461.77

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Solution

The fourth proportional to 873.89, 1,308.51 and 461.77 is: 691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.89 : 1,308.51 = 461.77 : x
  2. Step 2: Convert to fraction form
    873.89/1,308.51 = 461.77/x
  3. Step 3: Cross multiply
    873.89x = 1,308.51 × 461.77
  4. Step 4: Simplify right side
    873.89x = 604,230.66
  5. Step 5: Solve for x
    x = 604,230.66/873.89
  6. Step 6: Final answer
    x = 691.43

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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.