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Finding the Fourth Proportional to 1,010.06, 1,393.91 and 617.30

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Solution

The fourth proportional to 1,010.06, 1,393.91 and 617.30 is: 851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.06 : 1,393.91 = 617.30 : x
  2. Step 2: Convert to fraction form
    1,010.06/1,393.91 = 617.30/x
  3. Step 3: Cross multiply
    1,010.06x = 1,393.91 × 617.30
  4. Step 4: Simplify right side
    1,010.06x = 860,463.36
  5. Step 5: Solve for x
    x = 860,463.36/1,010.06
  6. Step 6: Final answer
    x = 851.89

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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.