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Finding the Fourth Proportional to 1,405.33, 2,103.54 and 787.15

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Solution

The fourth proportional to 1,405.33, 2,103.54 and 787.15 is: 1,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.33 : 2,103.54 = 787.15 : x
  2. Step 2: Convert to fraction form
    1,405.33/2,103.54 = 787.15/x
  3. Step 3: Cross multiply
    1,405.33x = 2,103.54 × 787.15
  4. Step 4: Simplify right side
    1,405.33x = 1,655,801.19
  5. Step 5: Solve for x
    x = 1,655,801.19/1,405.33
  6. Step 6: Final answer
    x = 1,178.23

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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.