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Finding the Fourth Proportional to 1,355.01, 2,032.28 and 381.11

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Solution

The fourth proportional to 1,355.01, 2,032.28 and 381.11 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.01 : 2,032.28 = 381.11 : x
  2. Step 2: Convert to fraction form
    1,355.01/2,032.28 = 381.11/x
  3. Step 3: Cross multiply
    1,355.01x = 2,032.28 × 381.11
  4. Step 4: Simplify right side
    1,355.01x = 774,510.16
  5. Step 5: Solve for x
    x = 774,510.16/1,355.01
  6. Step 6: Final answer
    x = 571.59

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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.