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Finding the Fourth Proportional to 1,009.63, 1,393.29 and 616.58

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Solution

The fourth proportional to 1,009.63, 1,393.29 and 616.58 is: 850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.63 : 1,393.29 = 616.58 : x
  2. Step 2: Convert to fraction form
    1,009.63/1,393.29 = 616.58/x
  3. Step 3: Cross multiply
    1,009.63x = 1,393.29 × 616.58
  4. Step 4: Simplify right side
    1,009.63x = 859,074.75
  5. Step 5: Solve for x
    x = 859,074.75/1,009.63
  6. Step 6: Final answer
    x = 850.88

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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.