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Finding the Fourth Proportional to 1,155.52, 1,594.29 and 841.78

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Solution

The fourth proportional to 1,155.52, 1,594.29 and 841.78 is: 1,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.52 : 1,594.29 = 841.78 : x
  2. Step 2: Convert to fraction form
    1,155.52/1,594.29 = 841.78/x
  3. Step 3: Cross multiply
    1,155.52x = 1,594.29 × 841.78
  4. Step 4: Simplify right side
    1,155.52x = 1,342,041.44
  5. Step 5: Solve for x
    x = 1,342,041.44/1,155.52
  6. Step 6: Final answer
    x = 1,161.42

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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.