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Finding the Fourth Proportional to 861.51, 1,188.85 and 468.53

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Solution

The fourth proportional to 861.51, 1,188.85 and 468.53 is: 646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.51 : 1,188.85 = 468.53 : x
  2. Step 2: Convert to fraction form
    861.51/1,188.85 = 468.53/x
  3. Step 3: Cross multiply
    861.51x = 1,188.85 × 468.53
  4. Step 4: Simplify right side
    861.51x = 557,018.12
  5. Step 5: Solve for x
    x = 557,018.12/861.51
  6. Step 6: Final answer
    x = 646.56

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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.