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Finding the Fourth Proportional to 933.82, 1,288.68 and 514.20

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Solution

The fourth proportional to 933.82, 1,288.68 and 514.20 is: 709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.82 : 1,288.68 = 514.20 : x
  2. Step 2: Convert to fraction form
    933.82/1,288.68 = 514.20/x
  3. Step 3: Cross multiply
    933.82x = 1,288.68 × 514.20
  4. Step 4: Simplify right side
    933.82x = 662,639.25
  5. Step 5: Solve for x
    x = 662,639.25/933.82
  6. Step 6: Final answer
    x = 709.60

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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.