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Finding the Fourth Proportional to 1,348.18, 2,022.78 and 527.05

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Solution

The fourth proportional to 1,348.18, 2,022.78 and 527.05 is: 790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.18 : 2,022.78 = 527.05 : x
  2. Step 2: Convert to fraction form
    1,348.18/2,022.78 = 527.05/x
  3. Step 3: Cross multiply
    1,348.18x = 2,022.78 × 527.05
  4. Step 4: Simplify right side
    1,348.18x = 1,066,106.20
  5. Step 5: Solve for x
    x = 1,066,106.20/1,348.18
  6. Step 6: Final answer
    x = 790.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.