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Finding the Fourth Proportional to 1,057.96, 1,460.03 and 616.01

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Solution

The fourth proportional to 1,057.96, 1,460.03 and 616.01 is: 850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.96 : 1,460.03 = 616.01 : x
  2. Step 2: Convert to fraction form
    1,057.96/1,460.03 = 616.01/x
  3. Step 3: Cross multiply
    1,057.96x = 1,460.03 × 616.01
  4. Step 4: Simplify right side
    1,057.96x = 899,382.70
  5. Step 5: Solve for x
    x = 899,382.70/1,057.96
  6. Step 6: Final answer
    x = 850.11

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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.