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Finding the Fourth Proportional to 1,149.34, 1,723.63 and 369.16

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Solution

The fourth proportional to 1,149.34, 1,723.63 and 369.16 is: 553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.34 : 1,723.63 = 369.16 : x
  2. Step 2: Convert to fraction form
    1,149.34/1,723.63 = 369.16/x
  3. Step 3: Cross multiply
    1,149.34x = 1,723.63 × 369.16
  4. Step 4: Simplify right side
    1,149.34x = 636,296.64
  5. Step 5: Solve for x
    x = 636,296.64/1,149.34
  6. Step 6: Final answer
    x = 553.62

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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.