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Finding the Fourth Proportional to 1,300.49, 1,949.00 and 569.27

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Solution

The fourth proportional to 1,300.49, 1,949.00 and 569.27 is: 853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.49 : 1,949.00 = 569.27 : x
  2. Step 2: Convert to fraction form
    1,300.49/1,949.00 = 569.27/x
  3. Step 3: Cross multiply
    1,300.49x = 1,949.00 × 569.27
  4. Step 4: Simplify right side
    1,300.49x = 1,109,494.64
  5. Step 5: Solve for x
    x = 1,109,494.64/1,300.49
  6. Step 6: Final answer
    x = 853.14

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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.