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Finding the Fourth Proportional to 1,501.74, 2,252.31 and 405.96

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Solution

The fourth proportional to 1,501.74, 2,252.31 and 405.96 is: 608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.74 : 2,252.31 = 405.96 : x
  2. Step 2: Convert to fraction form
    1,501.74/2,252.31 = 405.96/x
  3. Step 3: Cross multiply
    1,501.74x = 2,252.31 × 405.96
  4. Step 4: Simplify right side
    1,501.74x = 914,347.77
  5. Step 5: Solve for x
    x = 914,347.77/1,501.74
  6. Step 6: Final answer
    x = 608.86

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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.