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Finding the Fourth Proportional to 725.04, 999.69 and 686.10

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Solution

The fourth proportional to 725.04, 999.69 and 686.10 is: 946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.04 : 999.69 = 686.10 : x
  2. Step 2: Convert to fraction form
    725.04/999.69 = 686.10/x
  3. Step 3: Cross multiply
    725.04x = 999.69 × 686.10
  4. Step 4: Simplify right side
    725.04x = 685,887.31
  5. Step 5: Solve for x
    x = 685,887.31/725.04
  6. Step 6: Final answer
    x = 946.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.