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Finding the Fourth Proportional to 1,502.26, 2,252.58 and 612.01

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Solution

The fourth proportional to 1,502.26, 2,252.58 and 612.01 is: 917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.26 : 2,252.58 = 612.01 : x
  2. Step 2: Convert to fraction form
    1,502.26/2,252.58 = 612.01/x
  3. Step 3: Cross multiply
    1,502.26x = 2,252.58 × 612.01
  4. Step 4: Simplify right side
    1,502.26x = 1,378,589.34
  5. Step 5: Solve for x
    x = 1,378,589.34/1,502.26
  6. Step 6: Final answer
    x = 917.68

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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.