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Finding the Fourth Proportional to 1,053.16, 1,579.74 and 505.60

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Solution

The fourth proportional to 1,053.16, 1,579.74 and 505.60 is: 758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.16 : 1,579.74 = 505.60 : x
  2. Step 2: Convert to fraction form
    1,053.16/1,579.74 = 505.60/x
  3. Step 3: Cross multiply
    1,053.16x = 1,579.74 × 505.60
  4. Step 4: Simplify right side
    1,053.16x = 798,716.54
  5. Step 5: Solve for x
    x = 798,716.54/1,053.16
  6. Step 6: Final answer
    x = 758.40

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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.