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Finding the Fourth Proportional to 914.34, 1,372.59 and 877.20

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Solution

The fourth proportional to 914.34, 1,372.59 and 877.20 is: 1,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.34 : 1,372.59 = 877.20 : x
  2. Step 2: Convert to fraction form
    914.34/1,372.59 = 877.20/x
  3. Step 3: Cross multiply
    914.34x = 1,372.59 × 877.20
  4. Step 4: Simplify right side
    914.34x = 1,204,035.95
  5. Step 5: Solve for x
    x = 1,204,035.95/914.34
  6. Step 6: Final answer
    x = 1,316.84

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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.