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Finding the Fourth Proportional to 880.56, 1,214.37 and 756.18

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Solution

The fourth proportional to 880.56, 1,214.37 and 756.18 is: 1,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.56 : 1,214.37 = 756.18 : x
  2. Step 2: Convert to fraction form
    880.56/1,214.37 = 756.18/x
  3. Step 3: Cross multiply
    880.56x = 1,214.37 × 756.18
  4. Step 4: Simplify right side
    880.56x = 918,282.31
  5. Step 5: Solve for x
    x = 918,282.31/880.56
  6. Step 6: Final answer
    x = 1,042.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.