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Finding the Fourth Proportional to 1,053.77, 1,579.04 and 620.45

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Solution

The fourth proportional to 1,053.77, 1,579.04 and 620.45 is: 929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.77 : 1,579.04 = 620.45 : x
  2. Step 2: Convert to fraction form
    1,053.77/1,579.04 = 620.45/x
  3. Step 3: Cross multiply
    1,053.77x = 1,579.04 × 620.45
  4. Step 4: Simplify right side
    1,053.77x = 979,712.27
  5. Step 5: Solve for x
    x = 979,712.27/1,053.77
  6. Step 6: Final answer
    x = 929.72

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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.