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Finding the Fourth Proportional to 1,488.40, 2,232.60 and 622.51

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Solution

The fourth proportional to 1,488.40, 2,232.60 and 622.51 is: 933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.40 : 2,232.60 = 622.51 : x
  2. Step 2: Convert to fraction form
    1,488.40/2,232.60 = 622.51/x
  3. Step 3: Cross multiply
    1,488.40x = 2,232.60 × 622.51
  4. Step 4: Simplify right side
    1,488.40x = 1,389,815.83
  5. Step 5: Solve for x
    x = 1,389,815.83/1,488.40
  6. Step 6: Final answer
    x = 933.77

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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.