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Finding the Fourth Proportional to 845.85, 1,167.07 and 509.91

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Solution

The fourth proportional to 845.85, 1,167.07 and 509.91 is: 703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.85 : 1,167.07 = 509.91 : x
  2. Step 2: Convert to fraction form
    845.85/1,167.07 = 509.91/x
  3. Step 3: Cross multiply
    845.85x = 1,167.07 × 509.91
  4. Step 4: Simplify right side
    845.85x = 595,100.66
  5. Step 5: Solve for x
    x = 595,100.66/845.85
  6. Step 6: Final answer
    x = 703.55

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