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Finding the Fourth Proportional to 836.82, 1,154.22 and 522.25

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Solution

The fourth proportional to 836.82, 1,154.22 and 522.25 is: 720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.82 : 1,154.22 = 522.25 : x
  2. Step 2: Convert to fraction form
    836.82/1,154.22 = 522.25/x
  3. Step 3: Cross multiply
    836.82x = 1,154.22 × 522.25
  4. Step 4: Simplify right side
    836.82x = 602,788.51
  5. Step 5: Solve for x
    x = 602,788.51/836.82
  6. Step 6: Final answer
    x = 720.33

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Double scale
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1.5x scale

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.