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Finding the Fourth Proportional to 949.94, 1,422.81 and 583.64

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Solution

The fourth proportional to 949.94, 1,422.81 and 583.64 is: 874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.94 : 1,422.81 = 583.64 : x
  2. Step 2: Convert to fraction form
    949.94/1,422.81 = 583.64/x
  3. Step 3: Cross multiply
    949.94x = 1,422.81 × 583.64
  4. Step 4: Simplify right side
    949.94x = 830,401.71
  5. Step 5: Solve for x
    x = 830,401.71/949.94
  6. Step 6: Final answer
    x = 874.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.