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Finding the Fourth Proportional to 847.02, 1,169.73 and 552.18

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Solution

The fourth proportional to 847.02, 1,169.73 and 552.18 is: 762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.02 : 1,169.73 = 552.18 : x
  2. Step 2: Convert to fraction form
    847.02/1,169.73 = 552.18/x
  3. Step 3: Cross multiply
    847.02x = 1,169.73 × 552.18
  4. Step 4: Simplify right side
    847.02x = 645,901.51
  5. Step 5: Solve for x
    x = 645,901.51/847.02
  6. Step 6: Final answer
    x = 762.56

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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.