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Finding the Fourth Proportional to 1,041.28, 1,561.20 and 520.54

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Solution

The fourth proportional to 1,041.28, 1,561.20 and 520.54 is: 780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.28 : 1,561.20 = 520.54 : x
  2. Step 2: Convert to fraction form
    1,041.28/1,561.20 = 520.54/x
  3. Step 3: Cross multiply
    1,041.28x = 1,561.20 × 520.54
  4. Step 4: Simplify right side
    1,041.28x = 812,667.05
  5. Step 5: Solve for x
    x = 812,667.05/1,041.28
  6. Step 6: Final answer
    x = 780.45

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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.