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Finding the Fourth Proportional to 1,155.64, 1,594.86 and 690.04

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Solution

The fourth proportional to 1,155.64, 1,594.86 and 690.04 is: 952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.64 : 1,594.86 = 690.04 : x
  2. Step 2: Convert to fraction form
    1,155.64/1,594.86 = 690.04/x
  3. Step 3: Cross multiply
    1,155.64x = 1,594.86 × 690.04
  4. Step 4: Simplify right side
    1,155.64x = 1,100,517.19
  5. Step 5: Solve for x
    x = 1,100,517.19/1,155.64
  6. Step 6: Final answer
    x = 952.30

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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.