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Finding the Fourth Proportional to 1,126.28, 1,553.91 and 777.17

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Solution

The fourth proportional to 1,126.28, 1,553.91 and 777.17 is: 1,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.28 : 1,553.91 = 777.17 : x
  2. Step 2: Convert to fraction form
    1,126.28/1,553.91 = 777.17/x
  3. Step 3: Cross multiply
    1,126.28x = 1,553.91 × 777.17
  4. Step 4: Simplify right side
    1,126.28x = 1,207,652.23
  5. Step 5: Solve for x
    x = 1,207,652.23/1,126.28
  6. Step 6: Final answer
    x = 1,072.25

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1.5x scale

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.