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Finding the Fourth Proportional to 1,504.16, 2,254.92 and 774.15

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Solution

The fourth proportional to 1,504.16, 2,254.92 and 774.15 is: 1,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.16 : 2,254.92 = 774.15 : x
  2. Step 2: Convert to fraction form
    1,504.16/2,254.92 = 774.15/x
  3. Step 3: Cross multiply
    1,504.16x = 2,254.92 × 774.15
  4. Step 4: Simplify right side
    1,504.16x = 1,745,646.32
  5. Step 5: Solve for x
    x = 1,745,646.32/1,504.16
  6. Step 6: Final answer
    x = 1,160.55

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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.