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Finding the Fourth Proportional to 1,023.19, 1,412.01 and 557.44

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Solution

The fourth proportional to 1,023.19, 1,412.01 and 557.44 is: 769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.19 : 1,412.01 = 557.44 : x
  2. Step 2: Convert to fraction form
    1,023.19/1,412.01 = 557.44/x
  3. Step 3: Cross multiply
    1,023.19x = 1,412.01 × 557.44
  4. Step 4: Simplify right side
    1,023.19x = 787,107.32
  5. Step 5: Solve for x
    x = 787,107.32/1,023.19
  6. Step 6: Final answer
    x = 769.27

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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.