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Finding the Fourth Proportional to 1,018.72, 1,406.46 and 646.24

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Solution

The fourth proportional to 1,018.72, 1,406.46 and 646.24 is: 892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.72 : 1,406.46 = 646.24 : x
  2. Step 2: Convert to fraction form
    1,018.72/1,406.46 = 646.24/x
  3. Step 3: Cross multiply
    1,018.72x = 1,406.46 × 646.24
  4. Step 4: Simplify right side
    1,018.72x = 908,910.71
  5. Step 5: Solve for x
    x = 908,910.71/1,018.72
  6. Step 6: Final answer
    x = 892.21

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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.