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Finding the Fourth Proportional to 1,466.48, 2,023.74 and 803.33

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Solution

The fourth proportional to 1,466.48, 2,023.74 and 803.33 is: 1,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.48 : 2,023.74 = 803.33 : x
  2. Step 2: Convert to fraction form
    1,466.48/2,023.74 = 803.33/x
  3. Step 3: Cross multiply
    1,466.48x = 2,023.74 × 803.33
  4. Step 4: Simplify right side
    1,466.48x = 1,625,728.52
  5. Step 5: Solve for x
    x = 1,625,728.52/1,466.48
  6. Step 6: Final answer
    x = 1,108.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.