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Finding the Fourth Proportional to 1,155.56, 1,594.68 and 631.59

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Solution

The fourth proportional to 1,155.56, 1,594.68 and 631.59 is: 871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.56 : 1,594.68 = 631.59 : x
  2. Step 2: Convert to fraction form
    1,155.56/1,594.68 = 631.59/x
  3. Step 3: Cross multiply
    1,155.56x = 1,594.68 × 631.59
  4. Step 4: Simplify right side
    1,155.56x = 1,007,183.94
  5. Step 5: Solve for x
    x = 1,007,183.94/1,155.56
  6. Step 6: Final answer
    x = 871.60

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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.