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Finding the Fourth Proportional to 1,004.72, 1,386.66 and 579.27

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Solution

The fourth proportional to 1,004.72, 1,386.66 and 579.27 is: 799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.72 : 1,386.66 = 579.27 : x
  2. Step 2: Convert to fraction form
    1,004.72/1,386.66 = 579.27/x
  3. Step 3: Cross multiply
    1,004.72x = 1,386.66 × 579.27
  4. Step 4: Simplify right side
    1,004.72x = 803,240.71
  5. Step 5: Solve for x
    x = 803,240.71/1,004.72
  6. Step 6: Final answer
    x = 799.47

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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.