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Finding the Fourth Proportional to 868.08, 1,302.12 and 577.47

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Solution

The fourth proportional to 868.08, 1,302.12 and 577.47 is: 866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.08 : 1,302.12 = 577.47 : x
  2. Step 2: Convert to fraction form
    868.08/1,302.12 = 577.47/x
  3. Step 3: Cross multiply
    868.08x = 1,302.12 × 577.47
  4. Step 4: Simplify right side
    868.08x = 751,935.24
  5. Step 5: Solve for x
    x = 751,935.24/868.08
  6. Step 6: Final answer
    x = 866.21

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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.