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Finding the Fourth Proportional to 916.83, 1,262.64 and 834.81

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Solution

The fourth proportional to 916.83, 1,262.64 and 834.81 is: 1,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.83 : 1,262.64 = 834.81 : x
  2. Step 2: Convert to fraction form
    916.83/1,262.64 = 834.81/x
  3. Step 3: Cross multiply
    916.83x = 1,262.64 × 834.81
  4. Step 4: Simplify right side
    916.83x = 1,054,064.50
  5. Step 5: Solve for x
    x = 1,054,064.50/916.83
  6. Step 6: Final answer
    x = 1,149.68

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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.