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Finding the Fourth Proportional to 782.46, 1,173.08 and 652.15

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Solution

The fourth proportional to 782.46, 1,173.08 and 652.15 is: 977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.46 : 1,173.08 = 652.15 : x
  2. Step 2: Convert to fraction form
    782.46/1,173.08 = 652.15/x
  3. Step 3: Cross multiply
    782.46x = 1,173.08 × 652.15
  4. Step 4: Simplify right side
    782.46x = 765,027.22
  5. Step 5: Solve for x
    x = 765,027.22/782.46
  6. Step 6: Final answer
    x = 977.72

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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.