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Finding the Fourth Proportional to 788.40, 1,182.76 and 423.60

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Solution

The fourth proportional to 788.40, 1,182.76 and 423.60 is: 635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.40 : 1,182.76 = 423.60 : x
  2. Step 2: Convert to fraction form
    788.40/1,182.76 = 423.60/x
  3. Step 3: Cross multiply
    788.40x = 1,182.76 × 423.60
  4. Step 4: Simplify right side
    788.40x = 501,017.14
  5. Step 5: Solve for x
    x = 501,017.14/788.40
  6. Step 6: Final answer
    x = 635.49

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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.