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Finding the Fourth Proportional to 1,040.58, 1,560.36 and 347.01

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Solution

The fourth proportional to 1,040.58, 1,560.36 and 347.01 is: 520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.58 : 1,560.36 = 347.01 : x
  2. Step 2: Convert to fraction form
    1,040.58/1,560.36 = 347.01/x
  3. Step 3: Cross multiply
    1,040.58x = 1,560.36 × 347.01
  4. Step 4: Simplify right side
    1,040.58x = 541,460.52
  5. Step 5: Solve for x
    x = 541,460.52/1,040.58
  6. Step 6: Final answer
    x = 520.34

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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.