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Finding the Fourth Proportional to 1,355.73, 2,032.03 and 623.76

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Solution

The fourth proportional to 1,355.73, 2,032.03 and 623.76 is: 934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.73 : 2,032.03 = 623.76 : x
  2. Step 2: Convert to fraction form
    1,355.73/2,032.03 = 623.76/x
  3. Step 3: Cross multiply
    1,355.73x = 2,032.03 × 623.76
  4. Step 4: Simplify right side
    1,355.73x = 1,267,499.03
  5. Step 5: Solve for x
    x = 1,267,499.03/1,355.73
  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.