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Finding the Fourth Proportional to 1,393.70, 1,923.40 and 772.70

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Solution

The fourth proportional to 1,393.70, 1,923.40 and 772.70 is: 1,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.70 : 1,923.40 = 772.70 : x
  2. Step 2: Convert to fraction form
    1,393.70/1,923.40 = 772.70/x
  3. Step 3: Cross multiply
    1,393.70x = 1,923.40 × 772.70
  4. Step 4: Simplify right side
    1,393.70x = 1,486,218.39
  5. Step 5: Solve for x
    x = 1,486,218.39/1,393.70
  6. Step 6: Final answer
    x = 1,066.38

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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.