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Finding the Fourth Proportional to 1,316.63, 1,976.18 and 968.90

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Solution

The fourth proportional to 1,316.63, 1,976.18 and 968.90 is: 1,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.63 : 1,976.18 = 968.90 : x
  2. Step 2: Convert to fraction form
    1,316.63/1,976.18 = 968.90/x
  3. Step 3: Cross multiply
    1,316.63x = 1,976.18 × 968.90
  4. Step 4: Simplify right side
    1,316.63x = 1,914,720.80
  5. Step 5: Solve for x
    x = 1,914,720.80/1,316.63
  6. Step 6: Final answer
    x = 1,454.26

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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.