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Finding the Fourth Proportional to 1,403.73, 2,106.52 and 538.05

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Solution

The fourth proportional to 1,403.73, 2,106.52 and 538.05 is: 807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.73 : 2,106.52 = 538.05 : x
  2. Step 2: Convert to fraction form
    1,403.73/2,106.52 = 538.05/x
  3. Step 3: Cross multiply
    1,403.73x = 2,106.52 × 538.05
  4. Step 4: Simplify right side
    1,403.73x = 1,133,413.09
  5. Step 5: Solve for x
    x = 1,133,413.09/1,403.73
  6. Step 6: Final answer
    x = 807.43

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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.