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Finding the Fourth Proportional to 1,098.26, 1,516.12 and 705.52

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Solution

The fourth proportional to 1,098.26, 1,516.12 and 705.52 is: 973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.26 : 1,516.12 = 705.52 : x
  2. Step 2: Convert to fraction form
    1,098.26/1,516.12 = 705.52/x
  3. Step 3: Cross multiply
    1,098.26x = 1,516.12 × 705.52
  4. Step 4: Simplify right side
    1,098.26x = 1,069,652.98
  5. Step 5: Solve for x
    x = 1,069,652.98/1,098.26
  6. Step 6: Final answer
    x = 973.95

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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.