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Finding the Fourth Proportional to 971.31, 1,454.90 and 785.41

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Solution

The fourth proportional to 971.31, 1,454.90 and 785.41 is: 1,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.31 : 1,454.90 = 785.41 : x
  2. Step 2: Convert to fraction form
    971.31/1,454.90 = 785.41/x
  3. Step 3: Cross multiply
    971.31x = 1,454.90 × 785.41
  4. Step 4: Simplify right side
    971.31x = 1,142,698.05
  5. Step 5: Solve for x
    x = 1,142,698.05/971.31
  6. Step 6: Final answer
    x = 1,176.45

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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.