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Finding the Fourth Proportional to 1,514, 2,269.80 and 783.68

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Solution

The fourth proportional to 1,514, 2,269.80 and 783.68 is: 1,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514 : 2,269.80 = 783.68 : x
  2. Step 2: Convert to fraction form
    1,514/2,269.80 = 783.68/x
  3. Step 3: Cross multiply
    1,514x = 2,269.80 × 783.68
  4. Step 4: Simplify right side
    1,514x = 1,778,796.86
  5. Step 5: Solve for x
    x = 1,778,796.86/1,514
  6. Step 6: Final answer
    x = 1,174.90

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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.