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Finding the Fourth Proportional to 1,548, 2,320.56 and 624.24

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Solution

The fourth proportional to 1,548, 2,320.56 and 624.24 is: 935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548 : 2,320.56 = 624.24 : x
  2. Step 2: Convert to fraction form
    1,548/2,320.56 = 624.24/x
  3. Step 3: Cross multiply
    1,548x = 2,320.56 × 624.24
  4. Step 4: Simplify right side
    1,548x = 1,448,586.37
  5. Step 5: Solve for x
    x = 1,448,586.37/1,548
  6. Step 6: Final answer
    x = 935.78

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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.