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Finding the Fourth Proportional to 1,005.48, 1,507.06 and 682.52

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Solution

The fourth proportional to 1,005.48, 1,507.06 and 682.52 is: 1,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.48 : 1,507.06 = 682.52 : x
  2. Step 2: Convert to fraction form
    1,005.48/1,507.06 = 682.52/x
  3. Step 3: Cross multiply
    1,005.48x = 1,507.06 × 682.52
  4. Step 4: Simplify right side
    1,005.48x = 1,028,598.59
  5. Step 5: Solve for x
    x = 1,028,598.59/1,005.48
  6. Step 6: Final answer
    x = 1,022.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.