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Finding the Fourth Proportional to 1,081.95, 1,493.05 and 609.87

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Solution

The fourth proportional to 1,081.95, 1,493.05 and 609.87 is: 841.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.95 : 1,493.05 = 609.87 : x
  2. Step 2: Convert to fraction form
    1,081.95/1,493.05 = 609.87/x
  3. Step 3: Cross multiply
    1,081.95x = 1,493.05 × 609.87
  4. Step 4: Simplify right side
    1,081.95x = 910,566.40
  5. Step 5: Solve for x
    x = 910,566.40/1,081.95
  6. Step 6: Final answer
    x = 841.60

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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.