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Finding the Fourth Proportional to 1,023.59, 1,535.38 and 406.98

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Solution

The fourth proportional to 1,023.59, 1,535.38 and 406.98 is: 610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.59 : 1,535.38 = 406.98 : x
  2. Step 2: Convert to fraction form
    1,023.59/1,535.38 = 406.98/x
  3. Step 3: Cross multiply
    1,023.59x = 1,535.38 × 406.98
  4. Step 4: Simplify right side
    1,023.59x = 624,868.95
  5. Step 5: Solve for x
    x = 624,868.95/1,023.59
  6. Step 6: Final answer
    x = 610.47

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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.