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Finding the Fourth Proportional to 886.10, 1,222.96 and 507.96

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Solution

The fourth proportional to 886.10, 1,222.96 and 507.96 is: 701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.10 : 1,222.96 = 507.96 : x
  2. Step 2: Convert to fraction form
    886.10/1,222.96 = 507.96/x
  3. Step 3: Cross multiply
    886.10x = 1,222.96 × 507.96
  4. Step 4: Simplify right side
    886.10x = 621,214.76
  5. Step 5: Solve for x
    x = 621,214.76/886.10
  6. Step 6: Final answer
    x = 701.07

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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.