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Finding the Fourth Proportional to 1,041.30, 1,559.07 and 527.22

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Solution

The fourth proportional to 1,041.30, 1,559.07 and 527.22 is: 789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.30 : 1,559.07 = 527.22 : x
  2. Step 2: Convert to fraction form
    1,041.30/1,559.07 = 527.22/x
  3. Step 3: Cross multiply
    1,041.30x = 1,559.07 × 527.22
  4. Step 4: Simplify right side
    1,041.30x = 821,972.89
  5. Step 5: Solve for x
    x = 821,972.89/1,041.30
  6. Step 6: Final answer
    x = 789.37

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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.