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Finding the Fourth Proportional to 1,085.84, 1,626.91 and 776.11

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Solution

The fourth proportional to 1,085.84, 1,626.91 and 776.11 is: 1,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.84 : 1,626.91 = 776.11 : x
  2. Step 2: Convert to fraction form
    1,085.84/1,626.91 = 776.11/x
  3. Step 3: Cross multiply
    1,085.84x = 1,626.91 × 776.11
  4. Step 4: Simplify right side
    1,085.84x = 1,262,661.12
  5. Step 5: Solve for x
    x = 1,262,661.12/1,085.84
  6. Step 6: Final answer
    x = 1,162.84

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Why These Related Problems?

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