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Finding the Fourth Proportional to 1,248.17, 1,722.51 and 717.14

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Solution

The fourth proportional to 1,248.17, 1,722.51 and 717.14 is: 989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.17 : 1,722.51 = 717.14 : x
  2. Step 2: Convert to fraction form
    1,248.17/1,722.51 = 717.14/x
  3. Step 3: Cross multiply
    1,248.17x = 1,722.51 × 717.14
  4. Step 4: Simplify right side
    1,248.17x = 1,235,272.21
  5. Step 5: Solve for x
    x = 1,235,272.21/1,248.17
  6. Step 6: Final answer
    x = 989.67

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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.