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Finding the Fourth Proportional to 1,053.75, 1,579.72 and 404.03

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Solution

The fourth proportional to 1,053.75, 1,579.72 and 404.03 is: 605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.75 : 1,579.72 = 404.03 : x
  2. Step 2: Convert to fraction form
    1,053.75/1,579.72 = 404.03/x
  3. Step 3: Cross multiply
    1,053.75x = 1,579.72 × 404.03
  4. Step 4: Simplify right side
    1,053.75x = 638,254.27
  5. Step 5: Solve for x
    x = 638,254.27/1,053.75
  6. Step 6: Final answer
    x = 605.70

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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.