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Finding the Fourth Proportional to 1,465.38, 2,197.26 and 772.38

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Solution

The fourth proportional to 1,465.38, 2,197.26 and 772.38 is: 1,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.38 : 2,197.26 = 772.38 : x
  2. Step 2: Convert to fraction form
    1,465.38/2,197.26 = 772.38/x
  3. Step 3: Cross multiply
    1,465.38x = 2,197.26 × 772.38
  4. Step 4: Simplify right side
    1,465.38x = 1,697,119.68
  5. Step 5: Solve for x
    x = 1,697,119.68/1,465.38
  6. Step 6: Final answer
    x = 1,158.14

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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.