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Finding the Fourth Proportional to 847.53, 1,169.51 and 498.15

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Solution

The fourth proportional to 847.53, 1,169.51 and 498.15 is: 687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.53 : 1,169.51 = 498.15 : x
  2. Step 2: Convert to fraction form
    847.53/1,169.51 = 498.15/x
  3. Step 3: Cross multiply
    847.53x = 1,169.51 × 498.15
  4. Step 4: Simplify right side
    847.53x = 582,588.92
  5. Step 5: Solve for x
    x = 582,588.92/847.53
  6. Step 6: Final answer
    x = 687.40

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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.