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Finding the Fourth Proportional to 747.64, 1,121.76 and 382.56

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Solution

The fourth proportional to 747.64, 1,121.76 and 382.56 is: 573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.64 : 1,121.76 = 382.56 : x
  2. Step 2: Convert to fraction form
    747.64/1,121.76 = 382.56/x
  3. Step 3: Cross multiply
    747.64x = 1,121.76 × 382.56
  4. Step 4: Simplify right side
    747.64x = 429,140.51
  5. Step 5: Solve for x
    x = 429,140.51/747.64
  6. Step 6: Final answer
    x = 573.99

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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.