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Finding the Fourth Proportional to 802, 1,201.63 and 569.74

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Solution

The fourth proportional to 802, 1,201.63 and 569.74 is: 853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    802 : 1,201.63 = 569.74 : x
  2. Step 2: Convert to fraction form
    802/1,201.63 = 569.74/x
  3. Step 3: Cross multiply
    802x = 1,201.63 × 569.74
  4. Step 4: Simplify right side
    802x = 684,616.68
  5. Step 5: Solve for x
    x = 684,616.68/802
  6. Step 6: Final answer
    x = 853.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.