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Finding the Fourth Proportional to 1,207.90, 1,811.12 and 659.32

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Solution

The fourth proportional to 1,207.90, 1,811.12 and 659.32 is: 988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.90 : 1,811.12 = 659.32 : x
  2. Step 2: Convert to fraction form
    1,207.90/1,811.12 = 659.32/x
  3. Step 3: Cross multiply
    1,207.90x = 1,811.12 × 659.32
  4. Step 4: Simplify right side
    1,207.90x = 1,194,095.29
  5. Step 5: Solve for x
    x = 1,194,095.29/1,207.90
  6. Step 6: Final answer
    x = 988.58

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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.