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Finding the Fourth Proportional to 1,109.64, 1,531.45 and 717.81

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Solution

The fourth proportional to 1,109.64, 1,531.45 and 717.81 is: 990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.64 : 1,531.45 = 717.81 : x
  2. Step 2: Convert to fraction form
    1,109.64/1,531.45 = 717.81/x
  3. Step 3: Cross multiply
    1,109.64x = 1,531.45 × 717.81
  4. Step 4: Simplify right side
    1,109.64x = 1,099,290.12
  5. Step 5: Solve for x
    x = 1,099,290.12/1,109.64
  6. Step 6: Final answer
    x = 990.67

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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.