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Finding the Fourth Proportional to 1,053.72, 1,579.83 and 322.91

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Solution

The fourth proportional to 1,053.72, 1,579.83 and 322.91 is: 484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.72 : 1,579.83 = 322.91 : x
  2. Step 2: Convert to fraction form
    1,053.72/1,579.83 = 322.91/x
  3. Step 3: Cross multiply
    1,053.72x = 1,579.83 × 322.91
  4. Step 4: Simplify right side
    1,053.72x = 510,135.01
  5. Step 5: Solve for x
    x = 510,135.01/1,053.72
  6. Step 6: Final answer
    x = 484.13

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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.