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Finding the Fourth Proportional to 1,098.66, 1,646.16 and 773.34

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Solution

The fourth proportional to 1,098.66, 1,646.16 and 773.34 is: 1,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.66 : 1,646.16 = 773.34 : x
  2. Step 2: Convert to fraction form
    1,098.66/1,646.16 = 773.34/x
  3. Step 3: Cross multiply
    1,098.66x = 1,646.16 × 773.34
  4. Step 4: Simplify right side
    1,098.66x = 1,273,037.51
  5. Step 5: Solve for x
    x = 1,273,037.51/1,098.66
  6. Step 6: Final answer
    x = 1,158.72

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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.