Home / 1,029.04-1,541.11-534.12

Finding the Fourth Proportional to 1,029.04, 1,541.11 and 534.12

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Solution

The fourth proportional to 1,029.04, 1,541.11 and 534.12 is: 799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.04 : 1,541.11 = 534.12 : x
  2. Step 2: Convert to fraction form
    1,029.04/1,541.11 = 534.12/x
  3. Step 3: Cross multiply
    1,029.04x = 1,541.11 × 534.12
  4. Step 4: Simplify right side
    1,029.04x = 823,137.67
  5. Step 5: Solve for x
    x = 823,137.67/1,029.04
  6. Step 6: Final answer
    x = 799.91

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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.