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Finding the Fourth Proportional to 1,300.46, 1,949.54 and 569.46

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Solution

The fourth proportional to 1,300.46, 1,949.54 and 569.46 is: 853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.46 : 1,949.54 = 569.46 : x
  2. Step 2: Convert to fraction form
    1,300.46/1,949.54 = 569.46/x
  3. Step 3: Cross multiply
    1,300.46x = 1,949.54 × 569.46
  4. Step 4: Simplify right side
    1,300.46x = 1,110,185.05
  5. Step 5: Solve for x
    x = 1,110,185.05/1,300.46
  6. Step 6: Final answer
    x = 853.69

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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.