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Finding the Fourth Proportional to 1,098.80, 1,516.34 and 601.47

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Solution

The fourth proportional to 1,098.80, 1,516.34 and 601.47 is: 830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.80 : 1,516.34 = 601.47 : x
  2. Step 2: Convert to fraction form
    1,098.80/1,516.34 = 601.47/x
  3. Step 3: Cross multiply
    1,098.80x = 1,516.34 × 601.47
  4. Step 4: Simplify right side
    1,098.80x = 912,028.42
  5. Step 5: Solve for x
    x = 912,028.42/1,098.80
  6. Step 6: Final answer
    x = 830.03

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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.