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Finding the Fourth Proportional to 1,114.98, 1,538.67 and 672.75

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Solution

The fourth proportional to 1,114.98, 1,538.67 and 672.75 is: 928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.98 : 1,538.67 = 672.75 : x
  2. Step 2: Convert to fraction form
    1,114.98/1,538.67 = 672.75/x
  3. Step 3: Cross multiply
    1,114.98x = 1,538.67 × 672.75
  4. Step 4: Simplify right side
    1,114.98x = 1,035,140.24
  5. Step 5: Solve for x
    x = 1,035,140.24/1,114.98
  6. Step 6: Final answer
    x = 928.39

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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.