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Finding the Fourth Proportional to 1,040.01, 1,560.47 and 552.94

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Solution

The fourth proportional to 1,040.01, 1,560.47 and 552.94 is: 829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.01 : 1,560.47 = 552.94 : x
  2. Step 2: Convert to fraction form
    1,040.01/1,560.47 = 552.94/x
  3. Step 3: Cross multiply
    1,040.01x = 1,560.47 × 552.94
  4. Step 4: Simplify right side
    1,040.01x = 862,839.62
  5. Step 5: Solve for x
    x = 862,839.62/1,040.01
  6. Step 6: Final answer
    x = 829.65

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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.