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Finding the Fourth Proportional to 861.16, 1,288.65 and 746.00

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Solution

The fourth proportional to 861.16, 1,288.65 and 746.00 is: 1,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.16 : 1,288.65 = 746.00 : x
  2. Step 2: Convert to fraction form
    861.16/1,288.65 = 746.00/x
  3. Step 3: Cross multiply
    861.16x = 1,288.65 × 746.00
  4. Step 4: Simplify right side
    861.16x = 961,326.46
  5. Step 5: Solve for x
    x = 961,326.46/861.16
  6. Step 6: Final answer
    x = 1,116.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.