Home / 1,024.33-1,529.97-926.68

Finding the Fourth Proportional to 1,024.33, 1,529.97 and 926.68

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Solution

The fourth proportional to 1,024.33, 1,529.97 and 926.68 is: 1,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.33 : 1,529.97 = 926.68 : x
  2. Step 2: Convert to fraction form
    1,024.33/1,529.97 = 926.68/x
  3. Step 3: Cross multiply
    1,024.33x = 1,529.97 × 926.68
  4. Step 4: Simplify right side
    1,024.33x = 1,417,787.97
  5. Step 5: Solve for x
    x = 1,417,787.97/1,024.33
  6. Step 6: Final answer
    x = 1,384.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.