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Finding the Fourth Proportional to 1,161.72, 1,740.99 and 430.59

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Solution

The fourth proportional to 1,161.72, 1,740.99 and 430.59 is: 645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.72 : 1,740.99 = 430.59 : x
  2. Step 2: Convert to fraction form
    1,161.72/1,740.99 = 430.59/x
  3. Step 3: Cross multiply
    1,161.72x = 1,740.99 × 430.59
  4. Step 4: Simplify right side
    1,161.72x = 749,652.88
  5. Step 5: Solve for x
    x = 749,652.88/1,161.72
  6. Step 6: Final answer
    x = 645.30

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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.