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Finding the Fourth Proportional to 1,160.69, 1,738.43 and 899.90

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Solution

The fourth proportional to 1,160.69, 1,738.43 and 899.90 is: 1,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.69 : 1,738.43 = 899.90 : x
  2. Step 2: Convert to fraction form
    1,160.69/1,738.43 = 899.90/x
  3. Step 3: Cross multiply
    1,160.69x = 1,738.43 × 899.90
  4. Step 4: Simplify right side
    1,160.69x = 1,564,413.23
  5. Step 5: Solve for x
    x = 1,564,413.23/1,160.69
  6. Step 6: Final answer
    x = 1,347.84

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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.