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Finding the Fourth Proportional to 1,155.44, 1,594.05 and 712.57

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Solution

The fourth proportional to 1,155.44, 1,594.05 and 712.57 is: 983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.44 : 1,594.05 = 712.57 : x
  2. Step 2: Convert to fraction form
    1,155.44/1,594.05 = 712.57/x
  3. Step 3: Cross multiply
    1,155.44x = 1,594.05 × 712.57
  4. Step 4: Simplify right side
    1,155.44x = 1,135,860.68
  5. Step 5: Solve for x
    x = 1,135,860.68/1,155.44
  6. Step 6: Final answer
    x = 983.06

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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.