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Finding the Fourth Proportional to 1,513.02, 2,268.96 and 525.59

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Solution

The fourth proportional to 1,513.02, 2,268.96 and 525.59 is: 788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.02 : 2,268.96 = 525.59 : x
  2. Step 2: Convert to fraction form
    1,513.02/2,268.96 = 525.59/x
  3. Step 3: Cross multiply
    1,513.02x = 2,268.96 × 525.59
  4. Step 4: Simplify right side
    1,513.02x = 1,192,542.69
  5. Step 5: Solve for x
    x = 1,192,542.69/1,513.02
  6. Step 6: Final answer
    x = 788.19

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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.