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Finding the Fourth Proportional to 1,365.34, 1,883.70 and 767.75

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Solution

The fourth proportional to 1,365.34, 1,883.70 and 767.75 is: 1,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.34 : 1,883.70 = 767.75 : x
  2. Step 2: Convert to fraction form
    1,365.34/1,883.70 = 767.75/x
  3. Step 3: Cross multiply
    1,365.34x = 1,883.70 × 767.75
  4. Step 4: Simplify right side
    1,365.34x = 1,446,210.68
  5. Step 5: Solve for x
    x = 1,446,210.68/1,365.34
  6. Step 6: Final answer
    x = 1,059.23

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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.