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Finding the Fourth Proportional to 787.20, 1,086.35 and 433.14

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Solution

The fourth proportional to 787.20, 1,086.35 and 433.14 is: 597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.20 : 1,086.35 = 433.14 : x
  2. Step 2: Convert to fraction form
    787.20/1,086.35 = 433.14/x
  3. Step 3: Cross multiply
    787.20x = 1,086.35 × 433.14
  4. Step 4: Simplify right side
    787.20x = 470,541.64
  5. Step 5: Solve for x
    x = 470,541.64/787.20
  6. Step 6: Final answer
    x = 597.74

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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.