Home / 1,024.18-1,412.74-650.88

Finding the Fourth Proportional to 1,024.18, 1,412.74 and 650.88

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Solution

The fourth proportional to 1,024.18, 1,412.74 and 650.88 is: 897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.18 : 1,412.74 = 650.88 : x
  2. Step 2: Convert to fraction form
    1,024.18/1,412.74 = 650.88/x
  3. Step 3: Cross multiply
    1,024.18x = 1,412.74 × 650.88
  4. Step 4: Simplify right side
    1,024.18x = 919,524.21
  5. Step 5: Solve for x
    x = 919,524.21/1,024.18
  6. Step 6: Final answer
    x = 897.82

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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.