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Finding the Fourth Proportional to 937.63, 1,293.51 and 701.16

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Solution

The fourth proportional to 937.63, 1,293.51 and 701.16 is: 967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.63 : 1,293.51 = 701.16 : x
  2. Step 2: Convert to fraction form
    937.63/1,293.51 = 701.16/x
  3. Step 3: Cross multiply
    937.63x = 1,293.51 × 701.16
  4. Step 4: Simplify right side
    937.63x = 906,957.47
  5. Step 5: Solve for x
    x = 906,957.47/937.63
  6. Step 6: Final answer
    x = 967.29

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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.