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Finding the Fourth Proportional to 913.64, 1,261.26 and 619.38

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Solution

The fourth proportional to 913.64, 1,261.26 and 619.38 is: 855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.64 : 1,261.26 = 619.38 : x
  2. Step 2: Convert to fraction form
    913.64/1,261.26 = 619.38/x
  3. Step 3: Cross multiply
    913.64x = 1,261.26 × 619.38
  4. Step 4: Simplify right side
    913.64x = 781,199.22
  5. Step 5: Solve for x
    x = 781,199.22/913.64
  6. Step 6: Final answer
    x = 855.04

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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.