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Finding the Fourth Proportional to 1,053.43, 1,579.96 and 283.75

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Solution

The fourth proportional to 1,053.43, 1,579.96 and 283.75 is: 425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.43 : 1,579.96 = 283.75 : x
  2. Step 2: Convert to fraction form
    1,053.43/1,579.96 = 283.75/x
  3. Step 3: Cross multiply
    1,053.43x = 1,579.96 × 283.75
  4. Step 4: Simplify right side
    1,053.43x = 448,313.65
  5. Step 5: Solve for x
    x = 448,313.65/1,053.43
  6. Step 6: Final answer
    x = 425.58

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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.