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Finding the Fourth Proportional to 1,105.89, 1,526.21 and 775.11

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Solution

The fourth proportional to 1,105.89, 1,526.21 and 775.11 is: 1,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.89 : 1,526.21 = 775.11 : x
  2. Step 2: Convert to fraction form
    1,105.89/1,526.21 = 775.11/x
  3. Step 3: Cross multiply
    1,105.89x = 1,526.21 × 775.11
  4. Step 4: Simplify right side
    1,105.89x = 1,182,980.63
  5. Step 5: Solve for x
    x = 1,182,980.63/1,105.89
  6. Step 6: Final answer
    x = 1,069.71

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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.