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Finding the Fourth Proportional to 899.72, 1,341.62 and 790.48

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Solution

The fourth proportional to 899.72, 1,341.62 and 790.48 is: 1,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.72 : 1,341.62 = 790.48 : x
  2. Step 2: Convert to fraction form
    899.72/1,341.62 = 790.48/x
  3. Step 3: Cross multiply
    899.72x = 1,341.62 × 790.48
  4. Step 4: Simplify right side
    899.72x = 1,060,523.78
  5. Step 5: Solve for x
    x = 1,060,523.78/899.72
  6. Step 6: Final answer
    x = 1,178.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.