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Finding the Fourth Proportional to 1,162.50, 1,604.25 and 665.15

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Solution

The fourth proportional to 1,162.50, 1,604.25 and 665.15 is: 917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.50 : 1,604.25 = 665.15 : x
  2. Step 2: Convert to fraction form
    1,162.50/1,604.25 = 665.15/x
  3. Step 3: Cross multiply
    1,162.50x = 1,604.25 × 665.15
  4. Step 4: Simplify right side
    1,162.50x = 1,067,066.89
  5. Step 5: Solve for x
    x = 1,067,066.89/1,162.50
  6. Step 6: Final answer
    x = 917.91

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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.