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Finding the Fourth Proportional to 861.27, 1,188.44 and 507.39

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Solution

The fourth proportional to 861.27, 1,188.44 and 507.39 is: 700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.27 : 1,188.44 = 507.39 : x
  2. Step 2: Convert to fraction form
    861.27/1,188.44 = 507.39/x
  3. Step 3: Cross multiply
    861.27x = 1,188.44 × 507.39
  4. Step 4: Simplify right side
    861.27x = 602,994.09
  5. Step 5: Solve for x
    x = 602,994.09/861.27
  6. Step 6: Final answer
    x = 700.13

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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.