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Finding the Fourth Proportional to 884.06, 1,219.10 and 760.14

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Solution

The fourth proportional to 884.06, 1,219.10 and 760.14 is: 1,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.06 : 1,219.10 = 760.14 : x
  2. Step 2: Convert to fraction form
    884.06/1,219.10 = 760.14/x
  3. Step 3: Cross multiply
    884.06x = 1,219.10 × 760.14
  4. Step 4: Simplify right side
    884.06x = 926,686.67
  5. Step 5: Solve for x
    x = 926,686.67/884.06
  6. Step 6: Final answer
    x = 1,048.22

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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.