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Finding the Fourth Proportional to 845.80, 1,266.74 and 433.92

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Solution

The fourth proportional to 845.80, 1,266.74 and 433.92 is: 649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.80 : 1,266.74 = 433.92 : x
  2. Step 2: Convert to fraction form
    845.80/1,266.74 = 433.92/x
  3. Step 3: Cross multiply
    845.80x = 1,266.74 × 433.92
  4. Step 4: Simplify right side
    845.80x = 549,663.82
  5. Step 5: Solve for x
    x = 549,663.82/845.80
  6. Step 6: Final answer
    x = 649.87

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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.