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Finding the Fourth Proportional to 971.99, 1,341.36 and 546.60

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Solution

The fourth proportional to 971.99, 1,341.36 and 546.60 is: 754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.99 : 1,341.36 = 546.60 : x
  2. Step 2: Convert to fraction form
    971.99/1,341.36 = 546.60/x
  3. Step 3: Cross multiply
    971.99x = 1,341.36 × 546.60
  4. Step 4: Simplify right side
    971.99x = 733,187.38
  5. Step 5: Solve for x
    x = 733,187.38/971.99
  6. Step 6: Final answer
    x = 754.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.