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Finding the Fourth Proportional to 1,225.80, 1,690.17 and 1,004.10

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Solution

The fourth proportional to 1,225.80, 1,690.17 and 1,004.10 is: 1,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.80 : 1,690.17 = 1,004.10 : x
  2. Step 2: Convert to fraction form
    1,225.80/1,690.17 = 1,004.10/x
  3. Step 3: Cross multiply
    1,225.80x = 1,690.17 × 1,004.10
  4. Step 4: Simplify right side
    1,225.80x = 1,697,099.70
  5. Step 5: Solve for x
    x = 1,697,099.70/1,225.80
  6. Step 6: Final answer
    x = 1,384.48

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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.