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Finding the Fourth Proportional to 759.99, 1,142.01 and 413.58

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Solution

The fourth proportional to 759.99, 1,142.01 and 413.58 is: 621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.99 : 1,142.01 = 413.58 : x
  2. Step 2: Convert to fraction form
    759.99/1,142.01 = 413.58/x
  3. Step 3: Cross multiply
    759.99x = 1,142.01 × 413.58
  4. Step 4: Simplify right side
    759.99x = 472,312.50
  5. Step 5: Solve for x
    x = 472,312.50/759.99
  6. Step 6: Final answer
    x = 621.47

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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.