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Finding the Fourth Proportional to 1,277.62, 1,762.89 and 804.68

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Solution

The fourth proportional to 1,277.62, 1,762.89 and 804.68 is: 1,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.62 : 1,762.89 = 804.68 : x
  2. Step 2: Convert to fraction form
    1,277.62/1,762.89 = 804.68/x
  3. Step 3: Cross multiply
    1,277.62x = 1,762.89 × 804.68
  4. Step 4: Simplify right side
    1,277.62x = 1,418,562.33
  5. Step 5: Solve for x
    x = 1,418,562.33/1,277.62
  6. Step 6: Final answer
    x = 1,110.32

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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.