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Finding the Fourth Proportional to 1,155.52, 1,594.56 and 689.60

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Solution

The fourth proportional to 1,155.52, 1,594.56 and 689.60 is: 951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.52 : 1,594.56 = 689.60 : x
  2. Step 2: Convert to fraction form
    1,155.52/1,594.56 = 689.60/x
  3. Step 3: Cross multiply
    1,155.52x = 1,594.56 × 689.60
  4. Step 4: Simplify right side
    1,155.52x = 1,099,608.58
  5. Step 5: Solve for x
    x = 1,099,608.58/1,155.52
  6. Step 6: Final answer
    x = 951.61

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