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Finding the Fourth Proportional to 1,009.98, 1,393.47 and 616.59

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Solution

The fourth proportional to 1,009.98, 1,393.47 and 616.59 is: 850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.98 : 1,393.47 = 616.59 : x
  2. Step 2: Convert to fraction form
    1,009.98/1,393.47 = 616.59/x
  3. Step 3: Cross multiply
    1,009.98x = 1,393.47 × 616.59
  4. Step 4: Simplify right side
    1,009.98x = 859,199.67
  5. Step 5: Solve for x
    x = 859,199.67/1,009.98
  6. Step 6: Final answer
    x = 850.71

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