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Finding the Fourth Proportional to 787.26, 1,084.68 and 538.05

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Solution

The fourth proportional to 787.26, 1,084.68 and 538.05 is: 741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.26 : 1,084.68 = 538.05 : x
  2. Step 2: Convert to fraction form
    787.26/1,084.68 = 538.05/x
  3. Step 3: Cross multiply
    787.26x = 1,084.68 × 538.05
  4. Step 4: Simplify right side
    787.26x = 583,612.07
  5. Step 5: Solve for x
    x = 583,612.07/787.26
  6. Step 6: Final answer
    x = 741.32

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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.