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Finding the Fourth Proportional to 1,105.85, 1,526.15 and 732.20

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Solution

The fourth proportional to 1,105.85, 1,526.15 and 732.20 is: 1,010.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.85 : 1,526.15 = 732.20 : x
  2. Step 2: Convert to fraction form
    1,105.85/1,526.15 = 732.20/x
  3. Step 3: Cross multiply
    1,105.85x = 1,526.15 × 732.20
  4. Step 4: Simplify right side
    1,105.85x = 1,117,441.23
  5. Step 5: Solve for x
    x = 1,117,441.23/1,105.85
  6. Step 6: Final answer
    x = 1,010.48

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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.