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Finding the Fourth Proportional to 1,009.34, 1,511.30 and 569.94

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Solution

The fourth proportional to 1,009.34, 1,511.30 and 569.94 is: 853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.34 : 1,511.30 = 569.94 : x
  2. Step 2: Convert to fraction form
    1,009.34/1,511.30 = 569.94/x
  3. Step 3: Cross multiply
    1,009.34x = 1,511.30 × 569.94
  4. Step 4: Simplify right side
    1,009.34x = 861,346.08
  5. Step 5: Solve for x
    x = 861,346.08/1,009.34
  6. Step 6: Final answer
    x = 853.37

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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.