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Finding the Fourth Proportional to 685.56, 946.98 and 598.08

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Solution

The fourth proportional to 685.56, 946.98 and 598.08 is: 826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.56 : 946.98 = 598.08 : x
  2. Step 2: Convert to fraction form
    685.56/946.98 = 598.08/x
  3. Step 3: Cross multiply
    685.56x = 946.98 × 598.08
  4. Step 4: Simplify right side
    685.56x = 566,369.80
  5. Step 5: Solve for x
    x = 566,369.80/685.56
  6. Step 6: Final answer
    x = 826.14

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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.