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Finding the Fourth Proportional to 866.89, 1,300.31 and 520.32

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Solution

The fourth proportional to 866.89, 1,300.31 and 520.32 is: 780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.89 : 1,300.31 = 520.32 : x
  2. Step 2: Convert to fraction form
    866.89/1,300.31 = 520.32/x
  3. Step 3: Cross multiply
    866.89x = 1,300.31 × 520.32
  4. Step 4: Simplify right side
    866.89x = 676,577.30
  5. Step 5: Solve for x
    x = 676,577.30/866.89
  6. Step 6: Final answer
    x = 780.46

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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.