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Finding the Fourth Proportional to 730.97, 1,095.84 and 569.37

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Solution

The fourth proportional to 730.97, 1,095.84 and 569.37 is: 853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.97 : 1,095.84 = 569.37 : x
  2. Step 2: Convert to fraction form
    730.97/1,095.84 = 569.37/x
  3. Step 3: Cross multiply
    730.97x = 1,095.84 × 569.37
  4. Step 4: Simplify right side
    730.97x = 623,938.42
  5. Step 5: Solve for x
    x = 623,938.42/730.97
  6. Step 6: Final answer
    x = 853.58

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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.