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Finding the Fourth Proportional to 847.71, 1,169.53 and 511.68

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Solution

The fourth proportional to 847.71, 1,169.53 and 511.68 is: 705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.71 : 1,169.53 = 511.68 : x
  2. Step 2: Convert to fraction form
    847.71/1,169.53 = 511.68/x
  3. Step 3: Cross multiply
    847.71x = 1,169.53 × 511.68
  4. Step 4: Simplify right side
    847.71x = 598,425.11
  5. Step 5: Solve for x
    x = 598,425.11/847.71
  6. Step 6: Final answer
    x = 705.93

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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.