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Finding the Fourth Proportional to 1,114.91, 1,539.05 and 672.72

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Solution

The fourth proportional to 1,114.91, 1,539.05 and 672.72 is: 928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.91 : 1,539.05 = 672.72 : x
  2. Step 2: Convert to fraction form
    1,114.91/1,539.05 = 672.72/x
  3. Step 3: Cross multiply
    1,114.91x = 1,539.05 × 672.72
  4. Step 4: Simplify right side
    1,114.91x = 1,035,346.35
  5. Step 5: Solve for x
    x = 1,035,346.35/1,114.91
  6. Step 6: Final answer
    x = 928.63

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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.