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Finding the Fourth Proportional to 851.79, 1,176.02 and 557.56

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Solution

The fourth proportional to 851.79, 1,176.02 and 557.56 is: 769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.79 : 1,176.02 = 557.56 : x
  2. Step 2: Convert to fraction form
    851.79/1,176.02 = 557.56/x
  3. Step 3: Cross multiply
    851.79x = 1,176.02 × 557.56
  4. Step 4: Simplify right side
    851.79x = 655,701.71
  5. Step 5: Solve for x
    x = 655,701.71/851.79
  6. Step 6: Final answer
    x = 769.79

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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.