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Finding the Fourth Proportional to 633.93, 947.36 and 598.83

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Solution

The fourth proportional to 633.93, 947.36 and 598.83 is: 894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.93 : 947.36 = 598.83 : x
  2. Step 2: Convert to fraction form
    633.93/947.36 = 598.83/x
  3. Step 3: Cross multiply
    633.93x = 947.36 × 598.83
  4. Step 4: Simplify right side
    633.93x = 567,304.59
  5. Step 5: Solve for x
    x = 567,304.59/633.93
  6. Step 6: Final answer
    x = 894.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.