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Finding the Fourth Proportional to 933.17, 1,397.01 and 690.78

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Solution

The fourth proportional to 933.17, 1,397.01 and 690.78 is: 1,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.17 : 1,397.01 = 690.78 : x
  2. Step 2: Convert to fraction form
    933.17/1,397.01 = 690.78/x
  3. Step 3: Cross multiply
    933.17x = 1,397.01 × 690.78
  4. Step 4: Simplify right side
    933.17x = 965,026.57
  5. Step 5: Solve for x
    x = 965,026.57/933.17
  6. Step 6: Final answer
    x = 1,034.14

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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.