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Finding the Fourth Proportional to 1,327.19, 1,830.98 and 767.55

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Solution

The fourth proportional to 1,327.19, 1,830.98 and 767.55 is: 1,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.19 : 1,830.98 = 767.55 : x
  2. Step 2: Convert to fraction form
    1,327.19/1,830.98 = 767.55/x
  3. Step 3: Cross multiply
    1,327.19x = 1,830.98 × 767.55
  4. Step 4: Simplify right side
    1,327.19x = 1,405,364.86
  5. Step 5: Solve for x
    x = 1,405,364.86/1,327.19
  6. Step 6: Final answer
    x = 1,058.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.