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Finding the Fourth Proportional to 857.64, 1,291.03 and 615.86

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Solution

The fourth proportional to 857.64, 1,291.03 and 615.86 is: 927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.64 : 1,291.03 = 615.86 : x
  2. Step 2: Convert to fraction form
    857.64/1,291.03 = 615.86/x
  3. Step 3: Cross multiply
    857.64x = 1,291.03 × 615.86
  4. Step 4: Simplify right side
    857.64x = 795,093.74
  5. Step 5: Solve for x
    x = 795,093.74/857.64
  6. Step 6: Final answer
    x = 927.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.