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Finding the Fourth Proportional to 861.34, 1,188.62 and 468.36

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Solution

The fourth proportional to 861.34, 1,188.62 and 468.36 is: 646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.34 : 1,188.62 = 468.36 : x
  2. Step 2: Convert to fraction form
    861.34/1,188.62 = 468.36/x
  3. Step 3: Cross multiply
    861.34x = 1,188.62 × 468.36
  4. Step 4: Simplify right side
    861.34x = 556,699.72
  5. Step 5: Solve for x
    x = 556,699.72/861.34
  6. Step 6: Final answer
    x = 646.32

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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.