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Finding the Fourth Proportional to 1,151.37, 1,724.49 and 656.64

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Solution

The fourth proportional to 1,151.37, 1,724.49 and 656.64 is: 983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.37 : 1,724.49 = 656.64 : x
  2. Step 2: Convert to fraction form
    1,151.37/1,724.49 = 656.64/x
  3. Step 3: Cross multiply
    1,151.37x = 1,724.49 × 656.64
  4. Step 4: Simplify right side
    1,151.37x = 1,132,369.11
  5. Step 5: Solve for x
    x = 1,132,369.11/1,151.37
  6. Step 6: Final answer
    x = 983.50

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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.