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Finding the Fourth Proportional to 1,137.85, 1,565.94 and 1,055.23

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Solution

The fourth proportional to 1,137.85, 1,565.94 and 1,055.23 is: 1,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.85 : 1,565.94 = 1,055.23 : x
  2. Step 2: Convert to fraction form
    1,137.85/1,565.94 = 1,055.23/x
  3. Step 3: Cross multiply
    1,137.85x = 1,565.94 × 1,055.23
  4. Step 4: Simplify right side
    1,137.85x = 1,652,426.87
  5. Step 5: Solve for x
    x = 1,652,426.87/1,137.85
  6. Step 6: Final answer
    x = 1,452.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.