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Finding the Fourth Proportional to 1,513.95, 2,272.14 and 783.74

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Solution

The fourth proportional to 1,513.95, 2,272.14 and 783.74 is: 1,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.95 : 2,272.14 = 783.74 : x
  2. Step 2: Convert to fraction form
    1,513.95/2,272.14 = 783.74/x
  3. Step 3: Cross multiply
    1,513.95x = 2,272.14 × 783.74
  4. Step 4: Simplify right side
    1,513.95x = 1,780,755.64
  5. Step 5: Solve for x
    x = 1,780,755.64/1,513.95
  6. Step 6: Final answer
    x = 1,176.23

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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.