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Finding the Fourth Proportional to 972.22, 1,463.82 and 857.40

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Solution

The fourth proportional to 972.22, 1,463.82 and 857.40 is: 1,290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.22 : 1,463.82 = 857.40 : x
  2. Step 2: Convert to fraction form
    972.22/1,463.82 = 857.40/x
  3. Step 3: Cross multiply
    972.22x = 1,463.82 × 857.40
  4. Step 4: Simplify right side
    972.22x = 1,255,079.27
  5. Step 5: Solve for x
    x = 1,255,079.27/972.22
  6. Step 6: Final answer
    x = 1,290.94

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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.