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Finding the Fourth Proportional to 1,023.68, 1,413 and 604.02

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Solution

The fourth proportional to 1,023.68, 1,413 and 604.02 is: 833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.68 : 1,413 = 604.02 : x
  2. Step 2: Convert to fraction form
    1,023.68/1,413 = 604.02/x
  3. Step 3: Cross multiply
    1,023.68x = 1,413 × 604.02
  4. Step 4: Simplify right side
    1,023.68x = 853,480.26
  5. Step 5: Solve for x
    x = 853,480.26/1,023.68
  6. Step 6: Final answer
    x = 833.74

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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.