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Finding the Fourth Proportional to 807.90, 1,209.74 and 693.08

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Solution

The fourth proportional to 807.90, 1,209.74 and 693.08 is: 1,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.90 : 1,209.74 = 693.08 : x
  2. Step 2: Convert to fraction form
    807.90/1,209.74 = 693.08/x
  3. Step 3: Cross multiply
    807.90x = 1,209.74 × 693.08
  4. Step 4: Simplify right side
    807.90x = 838,446.60
  5. Step 5: Solve for x
    x = 838,446.60/807.90
  6. Step 6: Final answer
    x = 1,037.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.