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Finding the Fourth Proportional to 1,023.36, 1,535.61 and 613.28

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Solution

The fourth proportional to 1,023.36, 1,535.61 and 613.28 is: 920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.36 : 1,535.61 = 613.28 : x
  2. Step 2: Convert to fraction form
    1,023.36/1,535.61 = 613.28/x
  3. Step 3: Cross multiply
    1,023.36x = 1,535.61 × 613.28
  4. Step 4: Simplify right side
    1,023.36x = 941,751.22
  5. Step 5: Solve for x
    x = 941,751.22/1,023.36
  6. Step 6: Final answer
    x = 920.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.