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Finding the Fourth Proportional to 787.53, 1,086.98 and 578.01

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Solution

The fourth proportional to 787.53, 1,086.98 and 578.01 is: 797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.53 : 1,086.98 = 578.01 : x
  2. Step 2: Convert to fraction form
    787.53/1,086.98 = 578.01/x
  3. Step 3: Cross multiply
    787.53x = 1,086.98 × 578.01
  4. Step 4: Simplify right side
    787.53x = 628,282.42
  5. Step 5: Solve for x
    x = 628,282.42/787.53
  6. Step 6: Final answer
    x = 797.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.