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Finding the Fourth Proportional to 1,040.10, 1,560.06 and 423.87

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Solution

The fourth proportional to 1,040.10, 1,560.06 and 423.87 is: 635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.10 : 1,560.06 = 423.87 : x
  2. Step 2: Convert to fraction form
    1,040.10/1,560.06 = 423.87/x
  3. Step 3: Cross multiply
    1,040.10x = 1,560.06 × 423.87
  4. Step 4: Simplify right side
    1,040.10x = 661,262.63
  5. Step 5: Solve for x
    x = 661,262.63/1,040.10
  6. Step 6: Final answer
    x = 635.77

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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.