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Finding the Fourth Proportional to 1,162.84, 1,605.18 and 771.01

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Solution

The fourth proportional to 1,162.84, 1,605.18 and 771.01 is: 1,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.84 : 1,605.18 = 771.01 : x
  2. Step 2: Convert to fraction form
    1,162.84/1,605.18 = 771.01/x
  3. Step 3: Cross multiply
    1,162.84x = 1,605.18 × 771.01
  4. Step 4: Simplify right side
    1,162.84x = 1,237,609.83
  5. Step 5: Solve for x
    x = 1,237,609.83/1,162.84
  6. Step 6: Final answer
    x = 1,064.30

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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.