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Finding the Fourth Proportional to 1,235.54, 1,854.04 and 542.36

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Solution

The fourth proportional to 1,235.54, 1,854.04 and 542.36 is: 813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.54 : 1,854.04 = 542.36 : x
  2. Step 2: Convert to fraction form
    1,235.54/1,854.04 = 542.36/x
  3. Step 3: Cross multiply
    1,235.54x = 1,854.04 × 542.36
  4. Step 4: Simplify right side
    1,235.54x = 1,005,557.13
  5. Step 5: Solve for x
    x = 1,005,557.13/1,235.54
  6. Step 6: Final answer
    x = 813.86

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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.