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Finding the Fourth Proportional to 1,225.04, 1,689.01 and 1,023.23

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Solution

The fourth proportional to 1,225.04, 1,689.01 and 1,023.23 is: 1,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.04 : 1,689.01 = 1,023.23 : x
  2. Step 2: Convert to fraction form
    1,225.04/1,689.01 = 1,023.23/x
  3. Step 3: Cross multiply
    1,225.04x = 1,689.01 × 1,023.23
  4. Step 4: Simplify right side
    1,225.04x = 1,728,247.37
  5. Step 5: Solve for x
    x = 1,728,247.37/1,225.04
  6. Step 6: Final answer
    x = 1,410.77

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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.