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Finding the Fourth Proportional to 1,040.06, 1,560.77 and 553.45

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Solution

The fourth proportional to 1,040.06, 1,560.77 and 553.45 is: 830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.06 : 1,560.77 = 553.45 : x
  2. Step 2: Convert to fraction form
    1,040.06/1,560.77 = 553.45/x
  3. Step 3: Cross multiply
    1,040.06x = 1,560.77 × 553.45
  4. Step 4: Simplify right side
    1,040.06x = 863,805.39
  5. Step 5: Solve for x
    x = 863,805.39/1,040.06
  6. Step 6: Final answer
    x = 830.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.