Home / 1,219.02-1,826.20-633.16

Finding the Fourth Proportional to 1,219.02, 1,826.20 and 633.16

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Solution

The fourth proportional to 1,219.02, 1,826.20 and 633.16 is: 948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.02 : 1,826.20 = 633.16 : x
  2. Step 2: Convert to fraction form
    1,219.02/1,826.20 = 633.16/x
  3. Step 3: Cross multiply
    1,219.02x = 1,826.20 × 633.16
  4. Step 4: Simplify right side
    1,219.02x = 1,156,276.79
  5. Step 5: Solve for x
    x = 1,156,276.79/1,219.02
  6. Step 6: Final answer
    x = 948.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.