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Finding the Fourth Proportional to 1,753.34, 2,629.80 and 520.74

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Solution

The fourth proportional to 1,753.34, 2,629.80 and 520.74 is: 781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.34 : 2,629.80 = 520.74 : x
  2. Step 2: Convert to fraction form
    1,753.34/2,629.80 = 520.74/x
  3. Step 3: Cross multiply
    1,753.34x = 2,629.80 × 520.74
  4. Step 4: Simplify right side
    1,753.34x = 1,369,442.05
  5. Step 5: Solve for x
    x = 1,369,442.05/1,753.34
  6. Step 6: Final answer
    x = 781.05

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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.