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Finding the Fourth Proportional to 1,032.08, 1,548.17 and 338.47

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Solution

The fourth proportional to 1,032.08, 1,548.17 and 338.47 is: 507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.08 : 1,548.17 = 338.47 : x
  2. Step 2: Convert to fraction form
    1,032.08/1,548.17 = 338.47/x
  3. Step 3: Cross multiply
    1,032.08x = 1,548.17 × 338.47
  4. Step 4: Simplify right side
    1,032.08x = 524,000.51
  5. Step 5: Solve for x
    x = 524,000.51/1,032.08
  6. Step 6: Final answer
    x = 507.71

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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.