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Finding the Fourth Proportional to 1,232.57, 1,849.32 and 583.35

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Solution

The fourth proportional to 1,232.57, 1,849.32 and 583.35 is: 875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.57 : 1,849.32 = 583.35 : x
  2. Step 2: Convert to fraction form
    1,232.57/1,849.32 = 583.35/x
  3. Step 3: Cross multiply
    1,232.57x = 1,849.32 × 583.35
  4. Step 4: Simplify right side
    1,232.57x = 1,078,800.82
  5. Step 5: Solve for x
    x = 1,078,800.82/1,232.57
  6. Step 6: Final answer
    x = 875.25

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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.