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Finding the Fourth Proportional to 1,164.52, 1,607.07 and 722.44

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Solution

The fourth proportional to 1,164.52, 1,607.07 and 722.44 is: 996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.52 : 1,607.07 = 722.44 : x
  2. Step 2: Convert to fraction form
    1,164.52/1,607.07 = 722.44/x
  3. Step 3: Cross multiply
    1,164.52x = 1,607.07 × 722.44
  4. Step 4: Simplify right side
    1,164.52x = 1,161,011.65
  5. Step 5: Solve for x
    x = 1,161,011.65/1,164.52
  6. Step 6: Final answer
    x = 996.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.