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Finding the Fourth Proportional to 1,283.15, 1,924.86 and 405.69

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Solution

The fourth proportional to 1,283.15, 1,924.86 and 405.69 is: 608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.15 : 1,924.86 = 405.69 : x
  2. Step 2: Convert to fraction form
    1,283.15/1,924.86 = 405.69/x
  3. Step 3: Cross multiply
    1,283.15x = 1,924.86 × 405.69
  4. Step 4: Simplify right side
    1,283.15x = 780,890.76
  5. Step 5: Solve for x
    x = 780,890.76/1,283.15
  6. Step 6: Final answer
    x = 608.57

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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.