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Finding the Fourth Proportional to 1,029.96, 1,542.18 and 541.98

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Solution

The fourth proportional to 1,029.96, 1,542.18 and 541.98 is: 811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.96 : 1,542.18 = 541.98 : x
  2. Step 2: Convert to fraction form
    1,029.96/1,542.18 = 541.98/x
  3. Step 3: Cross multiply
    1,029.96x = 1,542.18 × 541.98
  4. Step 4: Simplify right side
    1,029.96x = 835,830.72
  5. Step 5: Solve for x
    x = 835,830.72/1,029.96
  6. Step 6: Final answer
    x = 811.52

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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.