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Finding the Fourth Proportional to 861.41, 1,188.74 and 507.33

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Solution

The fourth proportional to 861.41, 1,188.74 and 507.33 is: 700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.41 : 1,188.74 = 507.33 : x
  2. Step 2: Convert to fraction form
    861.41/1,188.74 = 507.33/x
  3. Step 3: Cross multiply
    861.41x = 1,188.74 × 507.33
  4. Step 4: Simplify right side
    861.41x = 603,084.73
  5. Step 5: Solve for x
    x = 603,084.73/861.41
  6. Step 6: Final answer
    x = 700.11

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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.