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Finding the Fourth Proportional to 1,023.80, 1,411.98 and 762.44

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Solution

The fourth proportional to 1,023.80, 1,411.98 and 762.44 is: 1,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.80 : 1,411.98 = 762.44 : x
  2. Step 2: Convert to fraction form
    1,023.80/1,411.98 = 762.44/x
  3. Step 3: Cross multiply
    1,023.80x = 1,411.98 × 762.44
  4. Step 4: Simplify right side
    1,023.80x = 1,076,550.03
  5. Step 5: Solve for x
    x = 1,076,550.03/1,023.80
  6. Step 6: Final answer
    x = 1,051.52

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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.