Home / 1,187.67-1,635.27-977.18

Finding the Fourth Proportional to 1,187.67, 1,635.27 and 977.18

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Solution

The fourth proportional to 1,187.67, 1,635.27 and 977.18 is: 1,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.67 : 1,635.27 = 977.18 : x
  2. Step 2: Convert to fraction form
    1,187.67/1,635.27 = 977.18/x
  3. Step 3: Cross multiply
    1,187.67x = 1,635.27 × 977.18
  4. Step 4: Simplify right side
    1,187.67x = 1,597,946.79
  5. Step 5: Solve for x
    x = 1,597,946.79/1,187.67
  6. Step 6: Final answer
    x = 1,345.44

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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.