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Finding the Fourth Proportional to 971.67, 1,458 and 561.18

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Solution

The fourth proportional to 971.67, 1,458 and 561.18 is: 842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.67 : 1,458 = 561.18 : x
  2. Step 2: Convert to fraction form
    971.67/1,458 = 561.18/x
  3. Step 3: Cross multiply
    971.67x = 1,458 × 561.18
  4. Step 4: Simplify right side
    971.67x = 818,200.44
  5. Step 5: Solve for x
    x = 818,200.44/971.67
  6. Step 6: Final answer
    x = 842.06

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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.