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Finding the Fourth Proportional to 788.34, 1,182.78 and 496.05

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Solution

The fourth proportional to 788.34, 1,182.78 and 496.05 is: 744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.34 : 1,182.78 = 496.05 : x
  2. Step 2: Convert to fraction form
    788.34/1,182.78 = 496.05/x
  3. Step 3: Cross multiply
    788.34x = 1,182.78 × 496.05
  4. Step 4: Simplify right side
    788.34x = 586,718.02
  5. Step 5: Solve for x
    x = 586,718.02/788.34
  6. Step 6: Final answer
    x = 744.24

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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.