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Finding the Fourth Proportional to 722.26, 1,081.56 and 526.66

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Solution

The fourth proportional to 722.26, 1,081.56 and 526.66 is: 788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.26 : 1,081.56 = 526.66 : x
  2. Step 2: Convert to fraction form
    722.26/1,081.56 = 526.66/x
  3. Step 3: Cross multiply
    722.26x = 1,081.56 × 526.66
  4. Step 4: Simplify right side
    722.26x = 569,614.39
  5. Step 5: Solve for x
    x = 569,614.39/722.26
  6. Step 6: Final answer
    x = 788.66

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