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Finding the Fourth Proportional to 1,360.61, 1,876.64 and 887.75

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Solution

The fourth proportional to 1,360.61, 1,876.64 and 887.75 is: 1,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.61 : 1,876.64 = 887.75 : x
  2. Step 2: Convert to fraction form
    1,360.61/1,876.64 = 887.75/x
  3. Step 3: Cross multiply
    1,360.61x = 1,876.64 × 887.75
  4. Step 4: Simplify right side
    1,360.61x = 1,665,985.23
  5. Step 5: Solve for x
    x = 1,665,985.23/1,360.61
  6. Step 6: Final answer
    x = 1,224.44

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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.