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Finding the Fourth Proportional to 1,775.22, 2,659.59 and 991.14

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Solution

The fourth proportional to 1,775.22, 2,659.59 and 991.14 is: 1,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.22 : 2,659.59 = 991.14 : x
  2. Step 2: Convert to fraction form
    1,775.22/2,659.59 = 991.14/x
  3. Step 3: Cross multiply
    1,775.22x = 2,659.59 × 991.14
  4. Step 4: Simplify right side
    1,775.22x = 2,636,026.03
  5. Step 5: Solve for x
    x = 2,636,026.03/1,775.22
  6. Step 6: Final answer
    x = 1,484.90

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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.