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Finding the Fourth Proportional to 861.02, 1,188.20 and 488.00

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Solution

The fourth proportional to 861.02, 1,188.20 and 488.00 is: 673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.02 : 1,188.20 = 488.00 : x
  2. Step 2: Convert to fraction form
    861.02/1,188.20 = 488.00/x
  3. Step 3: Cross multiply
    861.02x = 1,188.20 × 488.00
  4. Step 4: Simplify right side
    861.02x = 579,833.22
  5. Step 5: Solve for x
    x = 579,833.22/861.02
  6. Step 6: Final answer
    x = 673.43

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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.