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Finding the Fourth Proportional to 1,466.51, 2,023.71 and 803.24

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Solution

The fourth proportional to 1,466.51, 2,023.71 and 803.24 is: 1,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.51 : 2,023.71 = 803.24 : x
  2. Step 2: Convert to fraction form
    1,466.51/2,023.71 = 803.24/x
  3. Step 3: Cross multiply
    1,466.51x = 2,023.71 × 803.24
  4. Step 4: Simplify right side
    1,466.51x = 1,625,514.70
  5. Step 5: Solve for x
    x = 1,625,514.70/1,466.51
  6. Step 6: Final answer
    x = 1,108.42

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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.