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Finding the Fourth Proportional to 1,096.98, 1,513.62 and 654.92

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Solution

The fourth proportional to 1,096.98, 1,513.62 and 654.92 is: 903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.98 : 1,513.62 = 654.92 : x
  2. Step 2: Convert to fraction form
    1,096.98/1,513.62 = 654.92/x
  3. Step 3: Cross multiply
    1,096.98x = 1,513.62 × 654.92
  4. Step 4: Simplify right side
    1,096.98x = 991,296.74
  5. Step 5: Solve for x
    x = 991,296.74/1,096.98
  6. Step 6: Final answer
    x = 903.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.