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Finding the Fourth Proportional to 933.39, 1,398.06 and 499.50

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Solution

The fourth proportional to 933.39, 1,398.06 and 499.50 is: 748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.39 : 1,398.06 = 499.50 : x
  2. Step 2: Convert to fraction form
    933.39/1,398.06 = 499.50/x
  3. Step 3: Cross multiply
    933.39x = 1,398.06 × 499.50
  4. Step 4: Simplify right side
    933.39x = 698,330.97
  5. Step 5: Solve for x
    x = 698,330.97/933.39
  6. Step 6: Final answer
    x = 748.17

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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.