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Finding the Fourth Proportional to 1,161.99, 1,740.95 and 968.23

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Solution

The fourth proportional to 1,161.99, 1,740.95 and 968.23 is: 1,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.99 : 1,740.95 = 968.23 : x
  2. Step 2: Convert to fraction form
    1,161.99/1,740.95 = 968.23/x
  3. Step 3: Cross multiply
    1,161.99x = 1,740.95 × 968.23
  4. Step 4: Simplify right side
    1,161.99x = 1,685,640.02
  5. Step 5: Solve for x
    x = 1,685,640.02/1,161.99
  6. Step 6: Final answer
    x = 1,450.65

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1.5x scale

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.