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Finding the Fourth Proportional to 1,117.98, 1,675.74 and 843.19

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Solution

The fourth proportional to 1,117.98, 1,675.74 and 843.19 is: 1,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.98 : 1,675.74 = 843.19 : x
  2. Step 2: Convert to fraction form
    1,117.98/1,675.74 = 843.19/x
  3. Step 3: Cross multiply
    1,117.98x = 1,675.74 × 843.19
  4. Step 4: Simplify right side
    1,117.98x = 1,412,967.21
  5. Step 5: Solve for x
    x = 1,412,967.21/1,117.98
  6. Step 6: Final answer
    x = 1,263.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.