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Finding the Fourth Proportional to 933.72, 1,288.47 and 514.12

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Solution

The fourth proportional to 933.72, 1,288.47 and 514.12 is: 709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.72 : 1,288.47 = 514.12 : x
  2. Step 2: Convert to fraction form
    933.72/1,288.47 = 514.12/x
  3. Step 3: Cross multiply
    933.72x = 1,288.47 × 514.12
  4. Step 4: Simplify right side
    933.72x = 662,428.20
  5. Step 5: Solve for x
    x = 662,428.20/933.72
  6. Step 6: Final answer
    x = 709.45

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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.