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Finding the Fourth Proportional to 933.26, 1,397.65 and 567.14

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Solution

The fourth proportional to 933.26, 1,397.65 and 567.14 is: 849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.26 : 1,397.65 = 567.14 : x
  2. Step 2: Convert to fraction form
    933.26/1,397.65 = 567.14/x
  3. Step 3: Cross multiply
    933.26x = 1,397.65 × 567.14
  4. Step 4: Simplify right side
    933.26x = 792,663.22
  5. Step 5: Solve for x
    x = 792,663.22/933.26
  6. Step 6: Final answer
    x = 849.35

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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.