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Finding the Fourth Proportional to 1,207.82, 1,811.46 and 590.91

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Solution

The fourth proportional to 1,207.82, 1,811.46 and 590.91 is: 886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.82 : 1,811.46 = 590.91 : x
  2. Step 2: Convert to fraction form
    1,207.82/1,811.46 = 590.91/x
  3. Step 3: Cross multiply
    1,207.82x = 1,811.46 × 590.91
  4. Step 4: Simplify right side
    1,207.82x = 1,070,405.25
  5. Step 5: Solve for x
    x = 1,070,405.25/1,207.82
  6. Step 6: Final answer
    x = 886.23

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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.