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Finding the Fourth Proportional to 1,277.12, 1,762.59 and 779.65

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Solution

The fourth proportional to 1,277.12, 1,762.59 and 779.65 is: 1,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.12 : 1,762.59 = 779.65 : x
  2. Step 2: Convert to fraction form
    1,277.12/1,762.59 = 779.65/x
  3. Step 3: Cross multiply
    1,277.12x = 1,762.59 × 779.65
  4. Step 4: Simplify right side
    1,277.12x = 1,374,199.40
  5. Step 5: Solve for x
    x = 1,374,199.40/1,277.12
  6. Step 6: Final answer
    x = 1,076.02

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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.