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Finding the Fourth Proportional to 1,098.40, 1,516.24 and 705.44

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Solution

The fourth proportional to 1,098.40, 1,516.24 and 705.44 is: 973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.40 : 1,516.24 = 705.44 : x
  2. Step 2: Convert to fraction form
    1,098.40/1,516.24 = 705.44/x
  3. Step 3: Cross multiply
    1,098.40x = 1,516.24 × 705.44
  4. Step 4: Simplify right side
    1,098.40x = 1,069,616.35
  5. Step 5: Solve for x
    x = 1,069,616.35/1,098.40
  6. Step 6: Final answer
    x = 973.79

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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.