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Finding the Fourth Proportional to 1,232.51, 1,849.50 and 583.29

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Solution

The fourth proportional to 1,232.51, 1,849.50 and 583.29 is: 875.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.51 : 1,849.50 = 583.29 : x
  2. Step 2: Convert to fraction form
    1,232.51/1,849.50 = 583.29/x
  3. Step 3: Cross multiply
    1,232.51x = 1,849.50 × 583.29
  4. Step 4: Simplify right side
    1,232.51x = 1,078,794.86
  5. Step 5: Solve for x
    x = 1,078,794.86/1,232.51
  6. Step 6: Final answer
    x = 875.29

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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.