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Finding the Fourth Proportional to 1,189.32, 1,783.71 and 572.71

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Solution

The fourth proportional to 1,189.32, 1,783.71 and 572.71 is: 858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.32 : 1,783.71 = 572.71 : x
  2. Step 2: Convert to fraction form
    1,189.32/1,783.71 = 572.71/x
  3. Step 3: Cross multiply
    1,189.32x = 1,783.71 × 572.71
  4. Step 4: Simplify right side
    1,189.32x = 1,021,548.55
  5. Step 5: Solve for x
    x = 1,021,548.55/1,189.32
  6. Step 6: Final answer
    x = 858.93

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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.