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Finding the Fourth Proportional to 1,098.53, 1,646.87 and 481.77

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Solution

The fourth proportional to 1,098.53, 1,646.87 and 481.77 is: 722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.53 : 1,646.87 = 481.77 : x
  2. Step 2: Convert to fraction form
    1,098.53/1,646.87 = 481.77/x
  3. Step 3: Cross multiply
    1,098.53x = 1,646.87 × 481.77
  4. Step 4: Simplify right side
    1,098.53x = 793,406.03
  5. Step 5: Solve for x
    x = 793,406.03/1,098.53
  6. Step 6: Final answer
    x = 722.24

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Why These Related Problems?

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