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Finding the Fourth Proportional to 1,143.07, 1,712.45 and 564.19

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Solution

The fourth proportional to 1,143.07, 1,712.45 and 564.19 is: 845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.07 : 1,712.45 = 564.19 : x
  2. Step 2: Convert to fraction form
    1,143.07/1,712.45 = 564.19/x
  3. Step 3: Cross multiply
    1,143.07x = 1,712.45 × 564.19
  4. Step 4: Simplify right side
    1,143.07x = 966,144.34
  5. Step 5: Solve for x
    x = 966,144.34/1,143.07
  6. Step 6: Final answer
    x = 845.22

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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.