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Finding the Fourth Proportional to 1,116.94, 1,676.42 and 597.38

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Solution

The fourth proportional to 1,116.94, 1,676.42 and 597.38 is: 896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.94 : 1,676.42 = 597.38 : x
  2. Step 2: Convert to fraction form
    1,116.94/1,676.42 = 597.38/x
  3. Step 3: Cross multiply
    1,116.94x = 1,676.42 × 597.38
  4. Step 4: Simplify right side
    1,116.94x = 1,001,459.78
  5. Step 5: Solve for x
    x = 1,001,459.78/1,116.94
  6. Step 6: Final answer
    x = 896.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.