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Finding the Fourth Proportional to 787.05, 1,173.62 and 780.02

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Solution

The fourth proportional to 787.05, 1,173.62 and 780.02 is: 1,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.05 : 1,173.62 = 780.02 : x
  2. Step 2: Convert to fraction form
    787.05/1,173.62 = 780.02/x
  3. Step 3: Cross multiply
    787.05x = 1,173.62 × 780.02
  4. Step 4: Simplify right side
    787.05x = 915,443.15
  5. Step 5: Solve for x
    x = 915,443.15/787.05
  6. Step 6: Final answer
    x = 1,163.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.