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Finding the Fourth Proportional to 880.42, 1,214.75 and 526.19

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Solution

The fourth proportional to 880.42, 1,214.75 and 526.19 is: 726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.42 : 1,214.75 = 526.19 : x
  2. Step 2: Convert to fraction form
    880.42/1,214.75 = 526.19/x
  3. Step 3: Cross multiply
    880.42x = 1,214.75 × 526.19
  4. Step 4: Simplify right side
    880.42x = 639,193.65
  5. Step 5: Solve for x
    x = 639,193.65/880.42
  6. Step 6: Final answer
    x = 726.01

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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.