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Finding the Fourth Proportional to 1,023.06, 1,412.31 and 650.22

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Solution

The fourth proportional to 1,023.06, 1,412.31 and 650.22 is: 897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.06 : 1,412.31 = 650.22 : x
  2. Step 2: Convert to fraction form
    1,023.06/1,412.31 = 650.22/x
  3. Step 3: Cross multiply
    1,023.06x = 1,412.31 × 650.22
  4. Step 4: Simplify right side
    1,023.06x = 918,312.21
  5. Step 5: Solve for x
    x = 918,312.21/1,023.06
  6. Step 6: Final answer
    x = 897.61

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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.