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Finding the Fourth Proportional to 1,132.51, 1,697.39 and 516.05

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Solution

The fourth proportional to 1,132.51, 1,697.39 and 516.05 is: 773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.51 : 1,697.39 = 516.05 : x
  2. Step 2: Convert to fraction form
    1,132.51/1,697.39 = 516.05/x
  3. Step 3: Cross multiply
    1,132.51x = 1,697.39 × 516.05
  4. Step 4: Simplify right side
    1,132.51x = 875,935.53
  5. Step 5: Solve for x
    x = 875,935.53/1,132.51
  6. Step 6: Final answer
    x = 773.45

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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.