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Finding the Fourth Proportional to 1,098.71, 1,516.25 and 601.37

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Solution

The fourth proportional to 1,098.71, 1,516.25 and 601.37 is: 829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.71 : 1,516.25 = 601.37 : x
  2. Step 2: Convert to fraction form
    1,098.71/1,516.25 = 601.37/x
  3. Step 3: Cross multiply
    1,098.71x = 1,516.25 × 601.37
  4. Step 4: Simplify right side
    1,098.71x = 911,827.26
  5. Step 5: Solve for x
    x = 911,827.26/1,098.71
  6. Step 6: Final answer
    x = 829.91

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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.