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Finding the Fourth Proportional to 788.07, 1,182.24 and 325.59

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Solution

The fourth proportional to 788.07, 1,182.24 and 325.59 is: 488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.07 : 1,182.24 = 325.59 : x
  2. Step 2: Convert to fraction form
    788.07/1,182.24 = 325.59/x
  3. Step 3: Cross multiply
    788.07x = 1,182.24 × 325.59
  4. Step 4: Simplify right side
    788.07x = 384,925.52
  5. Step 5: Solve for x
    x = 384,925.52/788.07
  6. Step 6: Final answer
    x = 488.44

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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.