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Finding the Fourth Proportional to 1,032.82, 1,549.24 and 263.32

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Solution

The fourth proportional to 1,032.82, 1,549.24 and 263.32 is: 394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.82 : 1,549.24 = 263.32 : x
  2. Step 2: Convert to fraction form
    1,032.82/1,549.24 = 263.32/x
  3. Step 3: Cross multiply
    1,032.82x = 1,549.24 × 263.32
  4. Step 4: Simplify right side
    1,032.82x = 407,945.88
  5. Step 5: Solve for x
    x = 407,945.88/1,032.82
  6. Step 6: Final answer
    x = 394.98

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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.