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Finding the Fourth Proportional to 1,305.92, 1,802.19 and 716.42

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Solution

The fourth proportional to 1,305.92, 1,802.19 and 716.42 is: 988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.92 : 1,802.19 = 716.42 : x
  2. Step 2: Convert to fraction form
    1,305.92/1,802.19 = 716.42/x
  3. Step 3: Cross multiply
    1,305.92x = 1,802.19 × 716.42
  4. Step 4: Simplify right side
    1,305.92x = 1,291,132.15
  5. Step 5: Solve for x
    x = 1,291,132.15/1,305.92
  6. Step 6: Final answer
    x = 988.67

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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.