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Finding the Fourth Proportional to 1,429.48, 1,973.25 and 932.54

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Solution

The fourth proportional to 1,429.48, 1,973.25 and 932.54 is: 1,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.48 : 1,973.25 = 932.54 : x
  2. Step 2: Convert to fraction form
    1,429.48/1,973.25 = 932.54/x
  3. Step 3: Cross multiply
    1,429.48x = 1,973.25 × 932.54
  4. Step 4: Simplify right side
    1,429.48x = 1,840,134.56
  5. Step 5: Solve for x
    x = 1,840,134.56/1,429.48
  6. Step 6: Final answer
    x = 1,287.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.