Home / 1,214.96-1,677.23-861.62

Finding the Fourth Proportional to 1,214.96, 1,677.23 and 861.62

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Solution

The fourth proportional to 1,214.96, 1,677.23 and 861.62 is: 1,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.96 : 1,677.23 = 861.62 : x
  2. Step 2: Convert to fraction form
    1,214.96/1,677.23 = 861.62/x
  3. Step 3: Cross multiply
    1,214.96x = 1,677.23 × 861.62
  4. Step 4: Simplify right side
    1,214.96x = 1,445,122.22
  5. Step 5: Solve for x
    x = 1,445,122.22/1,214.96
  6. Step 6: Final answer
    x = 1,189.45

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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.