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Finding the Fourth Proportional to 1,014.64, 1,400.15 and 616.54

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Solution

The fourth proportional to 1,014.64, 1,400.15 and 616.54 is: 850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.64 : 1,400.15 = 616.54 : x
  2. Step 2: Convert to fraction form
    1,014.64/1,400.15 = 616.54/x
  3. Step 3: Cross multiply
    1,014.64x = 1,400.15 × 616.54
  4. Step 4: Simplify right side
    1,014.64x = 863,246.51
  5. Step 5: Solve for x
    x = 863,246.51/1,014.64
  6. Step 6: Final answer
    x = 850.79

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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.