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Finding the Fourth Proportional to 955.07, 1,433.04 and 565.84

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Solution

The fourth proportional to 955.07, 1,433.04 and 565.84 is: 849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.07 : 1,433.04 = 565.84 : x
  2. Step 2: Convert to fraction form
    955.07/1,433.04 = 565.84/x
  3. Step 3: Cross multiply
    955.07x = 1,433.04 × 565.84
  4. Step 4: Simplify right side
    955.07x = 810,871.35
  5. Step 5: Solve for x
    x = 810,871.35/955.07
  6. Step 6: Final answer
    x = 849.02

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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.