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Finding the Fourth Proportional to 1,235.53, 1,852.33 and 618.92

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Solution

The fourth proportional to 1,235.53, 1,852.33 and 618.92 is: 927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.53 : 1,852.33 = 618.92 : x
  2. Step 2: Convert to fraction form
    1,235.53/1,852.33 = 618.92/x
  3. Step 3: Cross multiply
    1,235.53x = 1,852.33 × 618.92
  4. Step 4: Simplify right side
    1,235.53x = 1,146,444.08
  5. Step 5: Solve for x
    x = 1,146,444.08/1,235.53
  6. Step 6: Final answer
    x = 927.90

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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.