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Finding the Fourth Proportional to 1,023.45, 1,412.22 and 649.77

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Solution

The fourth proportional to 1,023.45, 1,412.22 and 649.77 is: 896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.45 : 1,412.22 = 649.77 : x
  2. Step 2: Convert to fraction form
    1,023.45/1,412.22 = 649.77/x
  3. Step 3: Cross multiply
    1,023.45x = 1,412.22 × 649.77
  4. Step 4: Simplify right side
    1,023.45x = 917,618.19
  5. Step 5: Solve for x
    x = 917,618.19/1,023.45
  6. Step 6: Final answer
    x = 896.59

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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.