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Finding the Fourth Proportional to 1,548.87, 2,323.20 and 623.31

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Solution

The fourth proportional to 1,548.87, 2,323.20 and 623.31 is: 934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.87 : 2,323.20 = 623.31 : x
  2. Step 2: Convert to fraction form
    1,548.87/2,323.20 = 623.31/x
  3. Step 3: Cross multiply
    1,548.87x = 2,323.20 × 623.31
  4. Step 4: Simplify right side
    1,548.87x = 1,448,073.79
  5. Step 5: Solve for x
    x = 1,448,073.79/1,548.87
  6. Step 6: Final answer
    x = 934.92

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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.