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Finding the Fourth Proportional to 1,560.06, 2,339.69 and 693.77

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Solution

The fourth proportional to 1,560.06, 2,339.69 and 693.77 is: 1,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.06 : 2,339.69 = 693.77 : x
  2. Step 2: Convert to fraction form
    1,560.06/2,339.69 = 693.77/x
  3. Step 3: Cross multiply
    1,560.06x = 2,339.69 × 693.77
  4. Step 4: Simplify right side
    1,560.06x = 1,623,191.56
  5. Step 5: Solve for x
    x = 1,623,191.56/1,560.06
  6. Step 6: Final answer
    x = 1,040.47

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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.