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Finding the Fourth Proportional to 1,191.02, 1,643.71 and 693.70

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Solution

The fourth proportional to 1,191.02, 1,643.71 and 693.70 is: 957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.02 : 1,643.71 = 693.70 : x
  2. Step 2: Convert to fraction form
    1,191.02/1,643.71 = 693.70/x
  3. Step 3: Cross multiply
    1,191.02x = 1,643.71 × 693.70
  4. Step 4: Simplify right side
    1,191.02x = 1,140,241.09
  5. Step 5: Solve for x
    x = 1,140,241.09/1,191.02
  6. Step 6: Final answer
    x = 957.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.