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Finding the Fourth Proportional to 1,170.23, 1,616.28 and 776.57

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Solution

The fourth proportional to 1,170.23, 1,616.28 and 776.57 is: 1,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.23 : 1,616.28 = 776.57 : x
  2. Step 2: Convert to fraction form
    1,170.23/1,616.28 = 776.57/x
  3. Step 3: Cross multiply
    1,170.23x = 1,616.28 × 776.57
  4. Step 4: Simplify right side
    1,170.23x = 1,255,154.56
  5. Step 5: Solve for x
    x = 1,255,154.56/1,170.23
  6. Step 6: Final answer
    x = 1,072.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.