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Finding the Fourth Proportional to 845.94, 1,167.76 and 597.46

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Solution

The fourth proportional to 845.94, 1,167.76 and 597.46 is: 824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.94 : 1,167.76 = 597.46 : x
  2. Step 2: Convert to fraction form
    845.94/1,167.76 = 597.46/x
  3. Step 3: Cross multiply
    845.94x = 1,167.76 × 597.46
  4. Step 4: Simplify right side
    845.94x = 697,689.89
  5. Step 5: Solve for x
    x = 697,689.89/845.94
  6. Step 6: Final answer
    x = 824.75

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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.