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Finding the Fourth Proportional to 1,264.14, 1,894.62 and 569.82

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Solution

The fourth proportional to 1,264.14, 1,894.62 and 569.82 is: 854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.14 : 1,894.62 = 569.82 : x
  2. Step 2: Convert to fraction form
    1,264.14/1,894.62 = 569.82/x
  3. Step 3: Cross multiply
    1,264.14x = 1,894.62 × 569.82
  4. Step 4: Simplify right side
    1,264.14x = 1,079,592.37
  5. Step 5: Solve for x
    x = 1,079,592.37/1,264.14
  6. Step 6: Final answer
    x = 854.01

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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.