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Finding the Fourth Proportional to 1,092.48, 1,514.64 and 1,056.48

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Solution

The fourth proportional to 1,092.48, 1,514.64 and 1,056.48 is: 1,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.48 : 1,514.64 = 1,056.48 : x
  2. Step 2: Convert to fraction form
    1,092.48/1,514.64 = 1,056.48/x
  3. Step 3: Cross multiply
    1,092.48x = 1,514.64 × 1,056.48
  4. Step 4: Simplify right side
    1,092.48x = 1,600,186.87
  5. Step 5: Solve for x
    x = 1,600,186.87/1,092.48
  6. Step 6: Final answer
    x = 1,464.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.