Home / 1,023.20-1,411.44-649.52

Finding the Fourth Proportional to 1,023.20, 1,411.44 and 649.52

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Solution

The fourth proportional to 1,023.20, 1,411.44 and 649.52 is: 895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.20 : 1,411.44 = 649.52 : x
  2. Step 2: Convert to fraction form
    1,023.20/1,411.44 = 649.52/x
  3. Step 3: Cross multiply
    1,023.20x = 1,411.44 × 649.52
  4. Step 4: Simplify right side
    1,023.20x = 916,758.51
  5. Step 5: Solve for x
    x = 916,758.51/1,023.20
  6. Step 6: Final answer
    x = 895.97

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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.