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Finding the Fourth Proportional to 847.45, 1,169.16 and 515.74

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Solution

The fourth proportional to 847.45, 1,169.16 and 515.74 is: 711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.45 : 1,169.16 = 515.74 : x
  2. Step 2: Convert to fraction form
    847.45/1,169.16 = 515.74/x
  3. Step 3: Cross multiply
    847.45x = 1,169.16 × 515.74
  4. Step 4: Simplify right side
    847.45x = 602,982.58
  5. Step 5: Solve for x
    x = 602,982.58/847.45
  6. Step 6: Final answer
    x = 711.53

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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.