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Finding the Fourth Proportional to 1,053.60, 1,579.52 and 567.20

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Solution

The fourth proportional to 1,053.60, 1,579.52 and 567.20 is: 850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.60 : 1,579.52 = 567.20 : x
  2. Step 2: Convert to fraction form
    1,053.60/1,579.52 = 567.20/x
  3. Step 3: Cross multiply
    1,053.60x = 1,579.52 × 567.20
  4. Step 4: Simplify right side
    1,053.60x = 895,903.74
  5. Step 5: Solve for x
    x = 895,903.74/1,053.60
  6. Step 6: Final answer
    x = 850.33

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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.