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Finding the Fourth Proportional to 787.48, 1,086.73 and 433.40

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Solution

The fourth proportional to 787.48, 1,086.73 and 433.40 is: 598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.48 : 1,086.73 = 433.40 : x
  2. Step 2: Convert to fraction form
    787.48/1,086.73 = 433.40/x
  3. Step 3: Cross multiply
    787.48x = 1,086.73 × 433.40
  4. Step 4: Simplify right side
    787.48x = 470,988.78
  5. Step 5: Solve for x
    x = 470,988.78/787.48
  6. Step 6: Final answer
    x = 598.10

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