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Finding the Fourth Proportional to 836.36, 1,154.73 and 522.10

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Solution

The fourth proportional to 836.36, 1,154.73 and 522.10 is: 720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.36 : 1,154.73 = 522.10 : x
  2. Step 2: Convert to fraction form
    836.36/1,154.73 = 522.10/x
  3. Step 3: Cross multiply
    836.36x = 1,154.73 × 522.10
  4. Step 4: Simplify right side
    836.36x = 602,883.60
  5. Step 5: Solve for x
    x = 602,883.60/836.36
  6. Step 6: Final answer
    x = 720.85

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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.