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Finding the Fourth Proportional to 1,023.64, 1,522.46 and 1,004.03

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Solution

The fourth proportional to 1,023.64, 1,522.46 and 1,004.03 is: 1,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.64 : 1,522.46 = 1,004.03 : x
  2. Step 2: Convert to fraction form
    1,023.64/1,522.46 = 1,004.03/x
  3. Step 3: Cross multiply
    1,023.64x = 1,522.46 × 1,004.03
  4. Step 4: Simplify right side
    1,023.64x = 1,528,595.51
  5. Step 5: Solve for x
    x = 1,528,595.51/1,023.64
  6. Step 6: Final answer
    x = 1,493.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.