Home / 1,023.40-1,412.34-650.09

Finding the Fourth Proportional to 1,023.40, 1,412.34 and 650.09

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Solution

The fourth proportional to 1,023.40, 1,412.34 and 650.09 is: 897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.40 : 1,412.34 = 650.09 : x
  2. Step 2: Convert to fraction form
    1,023.40/1,412.34 = 650.09/x
  3. Step 3: Cross multiply
    1,023.40x = 1,412.34 × 650.09
  4. Step 4: Simplify right side
    1,023.40x = 918,149.20
  5. Step 5: Solve for x
    x = 918,149.20/1,023.40
  6. Step 6: Final answer
    x = 897.15

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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.