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Finding the Fourth Proportional to 722.82, 1,084.41 and 357.51

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Solution

The fourth proportional to 722.82, 1,084.41 and 357.51 is: 536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.82 : 1,084.41 = 357.51 : x
  2. Step 2: Convert to fraction form
    722.82/1,084.41 = 357.51/x
  3. Step 3: Cross multiply
    722.82x = 1,084.41 × 357.51
  4. Step 4: Simplify right side
    722.82x = 387,687.42
  5. Step 5: Solve for x
    x = 387,687.42/722.82
  6. Step 6: Final answer
    x = 536.35

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.