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Finding the Fourth Proportional to 1,225.08, 1,690.14 and 727.62

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Solution

The fourth proportional to 1,225.08, 1,690.14 and 727.62 is: 1,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.08 : 1,690.14 = 727.62 : x
  2. Step 2: Convert to fraction form
    1,225.08/1,690.14 = 727.62/x
  3. Step 3: Cross multiply
    1,225.08x = 1,690.14 × 727.62
  4. Step 4: Simplify right side
    1,225.08x = 1,229,779.67
  5. Step 5: Solve for x
    x = 1,229,779.67/1,225.08
  6. Step 6: Final answer
    x = 1,003.84

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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.