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Finding the Fourth Proportional to 1,185.62, 1,636.62 and 1,061.07

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Solution

The fourth proportional to 1,185.62, 1,636.62 and 1,061.07 is: 1,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.62 : 1,636.62 = 1,061.07 : x
  2. Step 2: Convert to fraction form
    1,185.62/1,636.62 = 1,061.07/x
  3. Step 3: Cross multiply
    1,185.62x = 1,636.62 × 1,061.07
  4. Step 4: Simplify right side
    1,185.62x = 1,736,559.71
  5. Step 5: Solve for x
    x = 1,736,559.71/1,185.62
  6. Step 6: Final answer
    x = 1,464.68

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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.