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Finding the Fourth Proportional to 845.96, 1,167.06 and 597.24

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Solution

The fourth proportional to 845.96, 1,167.06 and 597.24 is: 823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.96 : 1,167.06 = 597.24 : x
  2. Step 2: Convert to fraction form
    845.96/1,167.06 = 597.24/x
  3. Step 3: Cross multiply
    845.96x = 1,167.06 × 597.24
  4. Step 4: Simplify right side
    845.96x = 697,014.91
  5. Step 5: Solve for x
    x = 697,014.91/845.96
  6. Step 6: Final answer
    x = 823.93

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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.