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Finding the Fourth Proportional to 1,098.59, 1,516.08 and 601.23

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Solution

The fourth proportional to 1,098.59, 1,516.08 and 601.23 is: 829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.59 : 1,516.08 = 601.23 : x
  2. Step 2: Convert to fraction form
    1,098.59/1,516.08 = 601.23/x
  3. Step 3: Cross multiply
    1,098.59x = 1,516.08 × 601.23
  4. Step 4: Simplify right side
    1,098.59x = 911,502.19
  5. Step 5: Solve for x
    x = 911,502.19/1,098.59
  6. Step 6: Final answer
    x = 829.70

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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.