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Finding the Fourth Proportional to 836.57, 1,154.58 and 522.16

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Solution

The fourth proportional to 836.57, 1,154.58 and 522.16 is: 720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.57 : 1,154.58 = 522.16 : x
  2. Step 2: Convert to fraction form
    836.57/1,154.58 = 522.16/x
  3. Step 3: Cross multiply
    836.57x = 1,154.58 × 522.16
  4. Step 4: Simplify right side
    836.57x = 602,872.61
  5. Step 5: Solve for x
    x = 602,872.61/836.57
  6. Step 6: Final answer
    x = 720.65

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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.