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Finding the Fourth Proportional to 1,098.26, 1,516.29 and 684.50

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Solution

The fourth proportional to 1,098.26, 1,516.29 and 684.50 is: 945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.26 : 1,516.29 = 684.50 : x
  2. Step 2: Convert to fraction form
    1,098.26/1,516.29 = 684.50/x
  3. Step 3: Cross multiply
    1,098.26x = 1,516.29 × 684.50
  4. Step 4: Simplify right side
    1,098.26x = 1,037,900.51
  5. Step 5: Solve for x
    x = 1,037,900.51/1,098.26
  6. Step 6: Final answer
    x = 945.04

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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.