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Finding the Fourth Proportional to 1,396.19, 1,926.69 and 766.70

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Solution

The fourth proportional to 1,396.19, 1,926.69 and 766.70 is: 1,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.19 : 1,926.69 = 766.70 : x
  2. Step 2: Convert to fraction form
    1,396.19/1,926.69 = 766.70/x
  3. Step 3: Cross multiply
    1,396.19x = 1,926.69 × 766.70
  4. Step 4: Simplify right side
    1,396.19x = 1,477,193.22
  5. Step 5: Solve for x
    x = 1,477,193.22/1,396.19
  6. Step 6: Final answer
    x = 1,058.02

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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.