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Finding the Fourth Proportional to 1,158.11, 1,594.28 and 895.63

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Solution

The fourth proportional to 1,158.11, 1,594.28 and 895.63 is: 1,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.11 : 1,594.28 = 895.63 : x
  2. Step 2: Convert to fraction form
    1,158.11/1,594.28 = 895.63/x
  3. Step 3: Cross multiply
    1,158.11x = 1,594.28 × 895.63
  4. Step 4: Simplify right side
    1,158.11x = 1,427,880.52
  5. Step 5: Solve for x
    x = 1,427,880.52/1,158.11
  6. Step 6: Final answer
    x = 1,232.94

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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.