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Finding the Fourth Proportional to 1,071.57, 1,607.58 and 413.45

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Solution

The fourth proportional to 1,071.57, 1,607.58 and 413.45 is: 620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.57 : 1,607.58 = 413.45 : x
  2. Step 2: Convert to fraction form
    1,071.57/1,607.58 = 413.45/x
  3. Step 3: Cross multiply
    1,071.57x = 1,607.58 × 413.45
  4. Step 4: Simplify right side
    1,071.57x = 664,645.91
  5. Step 5: Solve for x
    x = 664,645.91/1,071.57
  6. Step 6: Final answer
    x = 620.25

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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.