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Finding the Fourth Proportional to 880.18, 1,214.42 and 526.20

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Solution

The fourth proportional to 880.18, 1,214.42 and 526.20 is: 726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.18 : 1,214.42 = 526.20 : x
  2. Step 2: Convert to fraction form
    880.18/1,214.42 = 526.20/x
  3. Step 3: Cross multiply
    880.18x = 1,214.42 × 526.20
  4. Step 4: Simplify right side
    880.18x = 639,027.80
  5. Step 5: Solve for x
    x = 639,027.80/880.18
  6. Step 6: Final answer
    x = 726.02

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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.