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Finding the Fourth Proportional to 886.16, 1,222.70 and 570.92

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Solution

The fourth proportional to 886.16, 1,222.70 and 570.92 is: 787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.16 : 1,222.70 = 570.92 : x
  2. Step 2: Convert to fraction form
    886.16/1,222.70 = 570.92/x
  3. Step 3: Cross multiply
    886.16x = 1,222.70 × 570.92
  4. Step 4: Simplify right side
    886.16x = 698,063.88
  5. Step 5: Solve for x
    x = 698,063.88/886.16
  6. Step 6: Final answer
    x = 787.74

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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.