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Finding the Fourth Proportional to 787.93, 1,087.34 and 433.85

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Solution

The fourth proportional to 787.93, 1,087.34 and 433.85 is: 598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.93 : 1,087.34 = 433.85 : x
  2. Step 2: Convert to fraction form
    787.93/1,087.34 = 433.85/x
  3. Step 3: Cross multiply
    787.93x = 1,087.34 × 433.85
  4. Step 4: Simplify right side
    787.93x = 471,738.83
  5. Step 5: Solve for x
    x = 471,738.83/787.93
  6. Step 6: Final answer
    x = 598.70

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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.