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Finding the Fourth Proportional to 844.63, 1,164.71 and 512.93

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Solution

The fourth proportional to 844.63, 1,164.71 and 512.93 is: 707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.63 : 1,164.71 = 512.93 : x
  2. Step 2: Convert to fraction form
    844.63/1,164.71 = 512.93/x
  3. Step 3: Cross multiply
    844.63x = 1,164.71 × 512.93
  4. Step 4: Simplify right side
    844.63x = 597,412.14
  5. Step 5: Solve for x
    x = 597,412.14/844.63
  6. Step 6: Final answer
    x = 707.31

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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.