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Finding the Fourth Proportional to 933.67, 1,288.61 and 540.76

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Solution

The fourth proportional to 933.67, 1,288.61 and 540.76 is: 746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.67 : 1,288.61 = 540.76 : x
  2. Step 2: Convert to fraction form
    933.67/1,288.61 = 540.76/x
  3. Step 3: Cross multiply
    933.67x = 1,288.61 × 540.76
  4. Step 4: Simplify right side
    933.67x = 696,828.74
  5. Step 5: Solve for x
    x = 696,828.74/933.67
  6. Step 6: Final answer
    x = 746.33

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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.