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Finding the Fourth Proportional to 933.74, 1,289.00 and 540.69

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Solution

The fourth proportional to 933.74, 1,289.00 and 540.69 is: 746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.74 : 1,289.00 = 540.69 : x
  2. Step 2: Convert to fraction form
    933.74/1,289.00 = 540.69/x
  3. Step 3: Cross multiply
    933.74x = 1,289.00 × 540.69
  4. Step 4: Simplify right side
    933.74x = 696,942.89
  5. Step 5: Solve for x
    x = 696,942.89/933.74
  6. Step 6: Final answer
    x = 746.40

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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.