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Finding the Fourth Proportional to 1,513, 2,268.30 and 782.68

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Solution

The fourth proportional to 1,513, 2,268.30 and 782.68 is: 1,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513 : 2,268.30 = 782.68 : x
  2. Step 2: Convert to fraction form
    1,513/2,268.30 = 782.68/x
  3. Step 3: Cross multiply
    1,513x = 2,268.30 × 782.68
  4. Step 4: Simplify right side
    1,513x = 1,775,353.04
  5. Step 5: Solve for x
    x = 1,775,353.04/1,513
  6. Step 6: Final answer
    x = 1,173.40

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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.