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Finding the Fourth Proportional to 1,181.59, 1,768.77 and 887.36

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Solution

The fourth proportional to 1,181.59, 1,768.77 and 887.36 is: 1,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.59 : 1,768.77 = 887.36 : x
  2. Step 2: Convert to fraction form
    1,181.59/1,768.77 = 887.36/x
  3. Step 3: Cross multiply
    1,181.59x = 1,768.77 × 887.36
  4. Step 4: Simplify right side
    1,181.59x = 1,569,526.90
  5. Step 5: Solve for x
    x = 1,569,526.90/1,181.59
  6. Step 6: Final answer
    x = 1,328.32

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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.