Home / 1,048.41-1,569.87-701.19

Finding the Fourth Proportional to 1,048.41, 1,569.87 and 701.19

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Solution

The fourth proportional to 1,048.41, 1,569.87 and 701.19 is: 1,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.41 : 1,569.87 = 701.19 : x
  2. Step 2: Convert to fraction form
    1,048.41/1,569.87 = 701.19/x
  3. Step 3: Cross multiply
    1,048.41x = 1,569.87 × 701.19
  4. Step 4: Simplify right side
    1,048.41x = 1,100,777.15
  5. Step 5: Solve for x
    x = 1,100,777.15/1,048.41
  6. Step 6: Final answer
    x = 1,049.95

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Why These Related Problems?

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