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Finding the Fourth Proportional to 787.73, 1,087.08 and 433.70

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Solution

The fourth proportional to 787.73, 1,087.08 and 433.70 is: 598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.73 : 1,087.08 = 433.70 : x
  2. Step 2: Convert to fraction form
    787.73/1,087.08 = 433.70/x
  3. Step 3: Cross multiply
    787.73x = 1,087.08 × 433.70
  4. Step 4: Simplify right side
    787.73x = 471,461.16
  5. Step 5: Solve for x
    x = 471,461.16/787.73
  6. Step 6: Final answer
    x = 598.51

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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.