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Finding the Fourth Proportional to 1,118.91, 1,544.34 and 646.89

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Solution

The fourth proportional to 1,118.91, 1,544.34 and 646.89 is: 892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.91 : 1,544.34 = 646.89 : x
  2. Step 2: Convert to fraction form
    1,118.91/1,544.34 = 646.89/x
  3. Step 3: Cross multiply
    1,118.91x = 1,544.34 × 646.89
  4. Step 4: Simplify right side
    1,118.91x = 999,018.10
  5. Step 5: Solve for x
    x = 999,018.10/1,118.91
  6. Step 6: Final answer
    x = 892.85

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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.