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Finding the Fourth Proportional to 738.48, 1,109.04 and 700.68

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Solution

The fourth proportional to 738.48, 1,109.04 and 700.68 is: 1,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.48 : 1,109.04 = 700.68 : x
  2. Step 2: Convert to fraction form
    738.48/1,109.04 = 700.68/x
  3. Step 3: Cross multiply
    738.48x = 1,109.04 × 700.68
  4. Step 4: Simplify right side
    738.48x = 777,082.15
  5. Step 5: Solve for x
    x = 777,082.15/738.48
  6. Step 6: Final answer
    x = 1,052.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.