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Finding the Fourth Proportional to 1,214.93, 1,677.20 and 717.72

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Solution

The fourth proportional to 1,214.93, 1,677.20 and 717.72 is: 990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.93 : 1,677.20 = 717.72 : x
  2. Step 2: Convert to fraction form
    1,214.93/1,677.20 = 717.72/x
  3. Step 3: Cross multiply
    1,214.93x = 1,677.20 × 717.72
  4. Step 4: Simplify right side
    1,214.93x = 1,203,756.40
  5. Step 5: Solve for x
    x = 1,203,756.40/1,214.93
  6. Step 6: Final answer
    x = 990.81

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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.