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Finding the Fourth Proportional to 1,263.22, 1,893.14 and 569.74

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Solution

The fourth proportional to 1,263.22, 1,893.14 and 569.74 is: 853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.22 : 1,893.14 = 569.74 : x
  2. Step 2: Convert to fraction form
    1,263.22/1,893.14 = 569.74/x
  3. Step 3: Cross multiply
    1,263.22x = 1,893.14 × 569.74
  4. Step 4: Simplify right side
    1,263.22x = 1,078,597.58
  5. Step 5: Solve for x
    x = 1,078,597.58/1,263.22
  6. Step 6: Final answer
    x = 853.85

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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.