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Finding the Fourth Proportional to 1,225.88, 1,690.88 and 847.89

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Solution

The fourth proportional to 1,225.88, 1,690.88 and 847.89 is: 1,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.88 : 1,690.88 = 847.89 : x
  2. Step 2: Convert to fraction form
    1,225.88/1,690.88 = 847.89/x
  3. Step 3: Cross multiply
    1,225.88x = 1,690.88 × 847.89
  4. Step 4: Simplify right side
    1,225.88x = 1,433,680.76
  5. Step 5: Solve for x
    x = 1,433,680.76/1,225.88
  6. Step 6: Final answer
    x = 1,169.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.