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Finding the Fourth Proportional to 937, 1,293 and 700.84

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Solution

The fourth proportional to 937, 1,293 and 700.84 is: 967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    937 : 1,293 = 700.84 : x
  2. Step 2: Convert to fraction form
    937/1,293 = 700.84/x
  3. Step 3: Cross multiply
    937x = 1,293 × 700.84
  4. Step 4: Simplify right side
    937x = 906,186.12
  5. Step 5: Solve for x
    x = 906,186.12/937
  6. Step 6: Final answer
    x = 967.11

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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.