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Finding the Fourth Proportional to 880.22, 1,214.95 and 526.22

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Solution

The fourth proportional to 880.22, 1,214.95 and 526.22 is: 726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.22 : 1,214.95 = 526.22 : x
  2. Step 2: Convert to fraction form
    880.22/1,214.95 = 526.22/x
  3. Step 3: Cross multiply
    880.22x = 1,214.95 × 526.22
  4. Step 4: Simplify right side
    880.22x = 639,330.99
  5. Step 5: Solve for x
    x = 639,330.99/880.22
  6. Step 6: Final answer
    x = 726.33

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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.