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Finding the Fourth Proportional to 1,431.09, 2,147.12 and 564.93

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Solution

The fourth proportional to 1,431.09, 2,147.12 and 564.93 is: 847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.09 : 2,147.12 = 564.93 : x
  2. Step 2: Convert to fraction form
    1,431.09/2,147.12 = 564.93/x
  3. Step 3: Cross multiply
    1,431.09x = 2,147.12 × 564.93
  4. Step 4: Simplify right side
    1,431.09x = 1,212,969.68
  5. Step 5: Solve for x
    x = 1,212,969.68/1,431.09
  6. Step 6: Final answer
    x = 847.58

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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.