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Finding the Fourth Proportional to 1,488.34, 2,232.25 and 563.77

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Solution

The fourth proportional to 1,488.34, 2,232.25 and 563.77 is: 845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.34 : 2,232.25 = 563.77 : x
  2. Step 2: Convert to fraction form
    1,488.34/2,232.25 = 563.77/x
  3. Step 3: Cross multiply
    1,488.34x = 2,232.25 × 563.77
  4. Step 4: Simplify right side
    1,488.34x = 1,258,475.58
  5. Step 5: Solve for x
    x = 1,258,475.58/1,488.34
  6. Step 6: Final answer
    x = 845.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.