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Finding the Fourth Proportional to 1,331.18, 1,835.74 and 859.22

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Solution

The fourth proportional to 1,331.18, 1,835.74 and 859.22 is: 1,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.18 : 1,835.74 = 859.22 : x
  2. Step 2: Convert to fraction form
    1,331.18/1,835.74 = 859.22/x
  3. Step 3: Cross multiply
    1,331.18x = 1,835.74 × 859.22
  4. Step 4: Simplify right side
    1,331.18x = 1,577,293.20
  5. Step 5: Solve for x
    x = 1,577,293.20/1,331.18
  6. Step 6: Final answer
    x = 1,184.89

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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.