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Finding the Fourth Proportional to 1,513.64, 2,269.53 and 690.78

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Solution

The fourth proportional to 1,513.64, 2,269.53 and 690.78 is: 1,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.64 : 2,269.53 = 690.78 : x
  2. Step 2: Convert to fraction form
    1,513.64/2,269.53 = 690.78/x
  3. Step 3: Cross multiply
    1,513.64x = 2,269.53 × 690.78
  4. Step 4: Simplify right side
    1,513.64x = 1,567,745.93
  5. Step 5: Solve for x
    x = 1,567,745.93/1,513.64
  6. Step 6: Final answer
    x = 1,035.75

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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.