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Finding the Fourth Proportional to 1,327.05, 1,830.08 and 1,011.76

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Solution

The fourth proportional to 1,327.05, 1,830.08 and 1,011.76 is: 1,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.05 : 1,830.08 = 1,011.76 : x
  2. Step 2: Convert to fraction form
    1,327.05/1,830.08 = 1,011.76/x
  3. Step 3: Cross multiply
    1,327.05x = 1,830.08 × 1,011.76
  4. Step 4: Simplify right side
    1,327.05x = 1,851,598.97
  5. Step 5: Solve for x
    x = 1,851,598.97/1,327.05
  6. Step 6: Final answer
    x = 1,395.27

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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.