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Finding the Fourth Proportional to 1,502.75, 2,254.14 and 407.23

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Solution

The fourth proportional to 1,502.75, 2,254.14 and 407.23 is: 610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.75 : 2,254.14 = 407.23 : x
  2. Step 2: Convert to fraction form
    1,502.75/2,254.14 = 407.23/x
  3. Step 3: Cross multiply
    1,502.75x = 2,254.14 × 407.23
  4. Step 4: Simplify right side
    1,502.75x = 917,947.80
  5. Step 5: Solve for x
    x = 917,947.80/1,502.75
  6. Step 6: Final answer
    x = 610.84

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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.