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Finding the Fourth Proportional to 1,283.16, 1,924.82 and 417.56

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Solution

The fourth proportional to 1,283.16, 1,924.82 and 417.56 is: 626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.16 : 1,924.82 = 417.56 : x
  2. Step 2: Convert to fraction form
    1,283.16/1,924.82 = 417.56/x
  3. Step 3: Cross multiply
    1,283.16x = 1,924.82 × 417.56
  4. Step 4: Simplify right side
    1,283.16x = 803,727.84
  5. Step 5: Solve for x
    x = 803,727.84/1,283.16
  6. Step 6: Final answer
    x = 626.37

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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.