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Finding the Fourth Proportional to 861.65, 1,189.06 and 468.68

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Solution

The fourth proportional to 861.65, 1,189.06 and 468.68 is: 646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.65 : 1,189.06 = 468.68 : x
  2. Step 2: Convert to fraction form
    861.65/1,189.06 = 468.68/x
  3. Step 3: Cross multiply
    861.65x = 1,189.06 × 468.68
  4. Step 4: Simplify right side
    861.65x = 557,288.64
  5. Step 5: Solve for x
    x = 557,288.64/861.65
  6. Step 6: Final answer
    x = 646.77

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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.