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Finding the Fourth Proportional to 1,098.93, 1,516.77 and 657.06

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Solution

The fourth proportional to 1,098.93, 1,516.77 and 657.06 is: 906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.93 : 1,516.77 = 657.06 : x
  2. Step 2: Convert to fraction form
    1,098.93/1,516.77 = 657.06/x
  3. Step 3: Cross multiply
    1,098.93x = 1,516.77 × 657.06
  4. Step 4: Simplify right side
    1,098.93x = 996,608.90
  5. Step 5: Solve for x
    x = 996,608.90/1,098.93
  6. Step 6: Final answer
    x = 906.89

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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.