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Finding the Fourth Proportional to 1,359.78, 1,877.55 and 887.82

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Solution

The fourth proportional to 1,359.78, 1,877.55 and 887.82 is: 1,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.78 : 1,877.55 = 887.82 : x
  2. Step 2: Convert to fraction form
    1,359.78/1,877.55 = 887.82/x
  3. Step 3: Cross multiply
    1,359.78x = 1,877.55 × 887.82
  4. Step 4: Simplify right side
    1,359.78x = 1,666,926.44
  5. Step 5: Solve for x
    x = 1,666,926.44/1,359.78
  6. Step 6: Final answer
    x = 1,225.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.