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Finding the Fourth Proportional to 1,040.59, 1,560.54 and 347.05

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Solution

The fourth proportional to 1,040.59, 1,560.54 and 347.05 is: 520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.59 : 1,560.54 = 347.05 : x
  2. Step 2: Convert to fraction form
    1,040.59/1,560.54 = 347.05/x
  3. Step 3: Cross multiply
    1,040.59x = 1,560.54 × 347.05
  4. Step 4: Simplify right side
    1,040.59x = 541,587.68
  5. Step 5: Solve for x
    x = 541,587.68/1,040.59
  6. Step 6: Final answer
    x = 520.46

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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.