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Finding the Fourth Proportional to 884.88, 1,319.76 and 830.16

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Solution

The fourth proportional to 884.88, 1,319.76 and 830.16 is: 1,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.88 : 1,319.76 = 830.16 : x
  2. Step 2: Convert to fraction form
    884.88/1,319.76 = 830.16/x
  3. Step 3: Cross multiply
    884.88x = 1,319.76 × 830.16
  4. Step 4: Simplify right side
    884.88x = 1,095,611.96
  5. Step 5: Solve for x
    x = 1,095,611.96/884.88
  6. Step 6: Final answer
    x = 1,238.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.