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Finding the Fourth Proportional to 866.79, 1,196.51 and 517.50

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Solution

The fourth proportional to 866.79, 1,196.51 and 517.50 is: 714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.79 : 1,196.51 = 517.50 : x
  2. Step 2: Convert to fraction form
    866.79/1,196.51 = 517.50/x
  3. Step 3: Cross multiply
    866.79x = 1,196.51 × 517.50
  4. Step 4: Simplify right side
    866.79x = 619,191.34
  5. Step 5: Solve for x
    x = 619,191.34/866.79
  6. Step 6: Final answer
    x = 714.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.