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Finding the Fourth Proportional to 707.94, 974.52 and 583.38

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Solution

The fourth proportional to 707.94, 974.52 and 583.38 is: 803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.94 : 974.52 = 583.38 : x
  2. Step 2: Convert to fraction form
    707.94/974.52 = 583.38/x
  3. Step 3: Cross multiply
    707.94x = 974.52 × 583.38
  4. Step 4: Simplify right side
    707.94x = 568,515.48
  5. Step 5: Solve for x
    x = 568,515.48/707.94
  6. Step 6: Final answer
    x = 803.06

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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.