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Finding the Fourth Proportional to 786.52, 1,178.80 and 498.04

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Solution

The fourth proportional to 786.52, 1,178.80 and 498.04 is: 746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.52 : 1,178.80 = 498.04 : x
  2. Step 2: Convert to fraction form
    786.52/1,178.80 = 498.04/x
  3. Step 3: Cross multiply
    786.52x = 1,178.80 × 498.04
  4. Step 4: Simplify right side
    786.52x = 587,089.55
  5. Step 5: Solve for x
    x = 587,089.55/786.52
  6. Step 6: Final answer
    x = 746.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.