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Finding the Fourth Proportional to 1,053.33, 1,579.87 and 322.90

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Solution

The fourth proportional to 1,053.33, 1,579.87 and 322.90 is: 484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.33 : 1,579.87 = 322.90 : x
  2. Step 2: Convert to fraction form
    1,053.33/1,579.87 = 322.90/x
  3. Step 3: Cross multiply
    1,053.33x = 1,579.87 × 322.90
  4. Step 4: Simplify right side
    1,053.33x = 510,140.02
  5. Step 5: Solve for x
    x = 510,140.02/1,053.33
  6. Step 6: Final answer
    x = 484.31

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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.