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Finding the Fourth Proportional to 1,365.82, 1,884.99 and 776.44

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Solution

The fourth proportional to 1,365.82, 1,884.99 and 776.44 is: 1,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.82 : 1,884.99 = 776.44 : x
  2. Step 2: Convert to fraction form
    1,365.82/1,884.99 = 776.44/x
  3. Step 3: Cross multiply
    1,365.82x = 1,884.99 × 776.44
  4. Step 4: Simplify right side
    1,365.82x = 1,463,582.54
  5. Step 5: Solve for x
    x = 1,463,582.54/1,365.82
  6. Step 6: Final answer
    x = 1,071.58

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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.