Home / 1,022.02-1,409.80-628.77

Finding the Fourth Proportional to 1,022.02, 1,409.80 and 628.77

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Solution

The fourth proportional to 1,022.02, 1,409.80 and 628.77 is: 867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.02 : 1,409.80 = 628.77 : x
  2. Step 2: Convert to fraction form
    1,022.02/1,409.80 = 628.77/x
  3. Step 3: Cross multiply
    1,022.02x = 1,409.80 × 628.77
  4. Step 4: Simplify right side
    1,022.02x = 886,439.95
  5. Step 5: Solve for x
    x = 886,439.95/1,022.02
  6. Step 6: Final answer
    x = 867.34

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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.