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Finding the Fourth Proportional to 1,283.07, 1,924.60 and 309.17

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Solution

The fourth proportional to 1,283.07, 1,924.60 and 309.17 is: 463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.07 : 1,924.60 = 309.17 : x
  2. Step 2: Convert to fraction form
    1,283.07/1,924.60 = 309.17/x
  3. Step 3: Cross multiply
    1,283.07x = 1,924.60 × 309.17
  4. Step 4: Simplify right side
    1,283.07x = 595,020.59
  5. Step 5: Solve for x
    x = 595,020.59/1,283.07
  6. Step 6: Final answer
    x = 463.75

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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.