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Finding the Fourth Proportional to 972.66, 1,464.48 and 857.82

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Solution

The fourth proportional to 972.66, 1,464.48 and 857.82 is: 1,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.66 : 1,464.48 = 857.82 : x
  2. Step 2: Convert to fraction form
    972.66/1,464.48 = 857.82/x
  3. Step 3: Cross multiply
    972.66x = 1,464.48 × 857.82
  4. Step 4: Simplify right side
    972.66x = 1,256,255.94
  5. Step 5: Solve for x
    x = 1,256,255.94/972.66
  6. Step 6: Final answer
    x = 1,291.57

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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.