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Finding the Fourth Proportional to 847.04, 1,169.10 and 497.78

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Solution

The fourth proportional to 847.04, 1,169.10 and 497.78 is: 687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.04 : 1,169.10 = 497.78 : x
  2. Step 2: Convert to fraction form
    847.04/1,169.10 = 497.78/x
  3. Step 3: Cross multiply
    847.04x = 1,169.10 × 497.78
  4. Step 4: Simplify right side
    847.04x = 581,954.60
  5. Step 5: Solve for x
    x = 581,954.60/847.04
  6. Step 6: Final answer
    x = 687.05

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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.