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Finding the Fourth Proportional to 689.99, 952.86 and 542.36

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Solution

The fourth proportional to 689.99, 952.86 and 542.36 is: 749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.99 : 952.86 = 542.36 : x
  2. Step 2: Convert to fraction form
    689.99/952.86 = 542.36/x
  3. Step 3: Cross multiply
    689.99x = 952.86 × 542.36
  4. Step 4: Simplify right side
    689.99x = 516,797.57
  5. Step 5: Solve for x
    x = 516,797.57/689.99
  6. Step 6: Final answer
    x = 749.00

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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.