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Finding the Fourth Proportional to 1,154.68, 1,600.78 and 1,092.34

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Solution

The fourth proportional to 1,154.68, 1,600.78 and 1,092.34 is: 1,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.68 : 1,600.78 = 1,092.34 : x
  2. Step 2: Convert to fraction form
    1,154.68/1,600.78 = 1,092.34/x
  3. Step 3: Cross multiply
    1,154.68x = 1,600.78 × 1,092.34
  4. Step 4: Simplify right side
    1,154.68x = 1,748,596.03
  5. Step 5: Solve for x
    x = 1,748,596.03/1,154.68
  6. Step 6: Final answer
    x = 1,514.36

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1.5x scale

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.