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Finding the Fourth Proportional to 940.09, 1,296.66 and 585.72

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Solution

The fourth proportional to 940.09, 1,296.66 and 585.72 is: 807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.09 : 1,296.66 = 585.72 : x
  2. Step 2: Convert to fraction form
    940.09/1,296.66 = 585.72/x
  3. Step 3: Cross multiply
    940.09x = 1,296.66 × 585.72
  4. Step 4: Simplify right side
    940.09x = 759,479.70
  5. Step 5: Solve for x
    x = 759,479.70/940.09
  6. Step 6: Final answer
    x = 807.88

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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.