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Finding the Fourth Proportional to 1,053.53, 1,579.52 and 559.61

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Solution

The fourth proportional to 1,053.53, 1,579.52 and 559.61 is: 839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.53 : 1,579.52 = 559.61 : x
  2. Step 2: Convert to fraction form
    1,053.53/1,579.52 = 559.61/x
  3. Step 3: Cross multiply
    1,053.53x = 1,579.52 × 559.61
  4. Step 4: Simplify right side
    1,053.53x = 883,908.69
  5. Step 5: Solve for x
    x = 883,908.69/1,053.53
  6. Step 6: Final answer
    x = 839.00

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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.