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Finding the Fourth Proportional to 1,189.43, 1,783.29 and 572.48

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Solution

The fourth proportional to 1,189.43, 1,783.29 and 572.48 is: 858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.43 : 1,783.29 = 572.48 : x
  2. Step 2: Convert to fraction form
    1,189.43/1,783.29 = 572.48/x
  3. Step 3: Cross multiply
    1,189.43x = 1,783.29 × 572.48
  4. Step 4: Simplify right side
    1,189.43x = 1,020,897.86
  5. Step 5: Solve for x
    x = 1,020,897.86/1,189.43
  6. Step 6: Final answer
    x = 858.31

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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.