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Finding the Fourth Proportional to 1,032.48, 1,424.79 and 566.73

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Solution

The fourth proportional to 1,032.48, 1,424.79 and 566.73 is: 782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.48 : 1,424.79 = 566.73 : x
  2. Step 2: Convert to fraction form
    1,032.48/1,424.79 = 566.73/x
  3. Step 3: Cross multiply
    1,032.48x = 1,424.79 × 566.73
  4. Step 4: Simplify right side
    1,032.48x = 807,471.24
  5. Step 5: Solve for x
    x = 807,471.24/1,032.48
  6. Step 6: Final answer
    x = 782.07

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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.