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Finding the Fourth Proportional to 1,152.03, 1,727.40 and 787.26

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Solution

The fourth proportional to 1,152.03, 1,727.40 and 787.26 is: 1,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.03 : 1,727.40 = 787.26 : x
  2. Step 2: Convert to fraction form
    1,152.03/1,727.40 = 787.26/x
  3. Step 3: Cross multiply
    1,152.03x = 1,727.40 × 787.26
  4. Step 4: Simplify right side
    1,152.03x = 1,359,912.92
  5. Step 5: Solve for x
    x = 1,359,912.92/1,152.03
  6. Step 6: Final answer
    x = 1,180.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.