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Finding the Fourth Proportional to 1,120.78, 1,681.53 and 877.42

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Solution

The fourth proportional to 1,120.78, 1,681.53 and 877.42 is: 1,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.78 : 1,681.53 = 877.42 : x
  2. Step 2: Convert to fraction form
    1,120.78/1,681.53 = 877.42/x
  3. Step 3: Cross multiply
    1,120.78x = 1,681.53 × 877.42
  4. Step 4: Simplify right side
    1,120.78x = 1,475,408.05
  5. Step 5: Solve for x
    x = 1,475,408.05/1,120.78
  6. Step 6: Final answer
    x = 1,316.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.