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Finding the Fourth Proportional to 1,065.84, 1,466.60 and 817.07

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Solution

The fourth proportional to 1,065.84, 1,466.60 and 817.07 is: 1,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.84 : 1,466.60 = 817.07 : x
  2. Step 2: Convert to fraction form
    1,065.84/1,466.60 = 817.07/x
  3. Step 3: Cross multiply
    1,065.84x = 1,466.60 × 817.07
  4. Step 4: Simplify right side
    1,065.84x = 1,198,303.44
  5. Step 5: Solve for x
    x = 1,198,303.44/1,065.84
  6. Step 6: Final answer
    x = 1,124.28

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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.