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Finding the Fourth Proportional to 1,513.83, 2,269.13 and 782.67

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Solution

The fourth proportional to 1,513.83, 2,269.13 and 782.67 is: 1,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.83 : 2,269.13 = 782.67 : x
  2. Step 2: Convert to fraction form
    1,513.83/2,269.13 = 782.67/x
  3. Step 3: Cross multiply
    1,513.83x = 2,269.13 × 782.67
  4. Step 4: Simplify right side
    1,513.83x = 1,775,976.06
  5. Step 5: Solve for x
    x = 1,775,976.06/1,513.83
  6. Step 6: Final answer
    x = 1,173.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.