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Finding the Fourth Proportional to 1,009.70, 1,393.30 and 616.65

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Solution

The fourth proportional to 1,009.70, 1,393.30 and 616.65 is: 850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.70 : 1,393.30 = 616.65 : x
  2. Step 2: Convert to fraction form
    1,009.70/1,393.30 = 616.65/x
  3. Step 3: Cross multiply
    1,009.70x = 1,393.30 × 616.65
  4. Step 4: Simplify right side
    1,009.70x = 859,178.45
  5. Step 5: Solve for x
    x = 859,178.45/1,009.70
  6. Step 6: Final answer
    x = 850.92

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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.