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Finding the Fourth Proportional to 1,284.14, 1,924.16 and 762.90

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Solution

The fourth proportional to 1,284.14, 1,924.16 and 762.90 is: 1,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.14 : 1,924.16 = 762.90 : x
  2. Step 2: Convert to fraction form
    1,284.14/1,924.16 = 762.90/x
  3. Step 3: Cross multiply
    1,284.14x = 1,924.16 × 762.90
  4. Step 4: Simplify right side
    1,284.14x = 1,467,941.46
  5. Step 5: Solve for x
    x = 1,467,941.46/1,284.14
  6. Step 6: Final answer
    x = 1,143.13

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