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Finding the Fourth Proportional to 847.79, 1,271.69 and 586.97

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Solution

The fourth proportional to 847.79, 1,271.69 and 586.97 is: 880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.79 : 1,271.69 = 586.97 : x
  2. Step 2: Convert to fraction form
    847.79/1,271.69 = 586.97/x
  3. Step 3: Cross multiply
    847.79x = 1,271.69 × 586.97
  4. Step 4: Simplify right side
    847.79x = 746,440.94
  5. Step 5: Solve for x
    x = 746,440.94/847.79
  6. Step 6: Final answer
    x = 880.46

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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.