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Finding the Fourth Proportional to 866.79, 1,294.76 and 621.36

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Solution

The fourth proportional to 866.79, 1,294.76 and 621.36 is: 928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.79 : 1,294.76 = 621.36 : x
  2. Step 2: Convert to fraction form
    866.79/1,294.76 = 621.36/x
  3. Step 3: Cross multiply
    866.79x = 1,294.76 × 621.36
  4. Step 4: Simplify right side
    866.79x = 804,513.63
  5. Step 5: Solve for x
    x = 804,513.63/866.79
  6. Step 6: Final answer
    x = 928.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.