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Finding the Fourth Proportional to 971.50, 1,454.66 and 891.30

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Solution

The fourth proportional to 971.50, 1,454.66 and 891.30 is: 1,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.50 : 1,454.66 = 891.30 : x
  2. Step 2: Convert to fraction form
    971.50/1,454.66 = 891.30/x
  3. Step 3: Cross multiply
    971.50x = 1,454.66 × 891.30
  4. Step 4: Simplify right side
    971.50x = 1,296,538.46
  5. Step 5: Solve for x
    x = 1,296,538.46/971.50
  6. Step 6: Final answer
    x = 1,334.57

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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.