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Finding the Fourth Proportional to 1,300.07, 1,949.07 and 569.09

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Solution

The fourth proportional to 1,300.07, 1,949.07 and 569.09 is: 853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.07 : 1,949.07 = 569.09 : x
  2. Step 2: Convert to fraction form
    1,300.07/1,949.07 = 569.09/x
  3. Step 3: Cross multiply
    1,300.07x = 1,949.07 × 569.09
  4. Step 4: Simplify right side
    1,300.07x = 1,109,196.25
  5. Step 5: Solve for x
    x = 1,109,196.25/1,300.07
  6. Step 6: Final answer
    x = 853.18

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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.