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Finding the Fourth Proportional to 1,349.32, 2,022.72 and 527.02

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Solution

The fourth proportional to 1,349.32, 2,022.72 and 527.02 is: 790.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.32 : 2,022.72 = 527.02 : x
  2. Step 2: Convert to fraction form
    1,349.32/2,022.72 = 527.02/x
  3. Step 3: Cross multiply
    1,349.32x = 2,022.72 × 527.02
  4. Step 4: Simplify right side
    1,349.32x = 1,066,013.89
  5. Step 5: Solve for x
    x = 1,066,013.89/1,349.32
  6. Step 6: Final answer
    x = 790.04

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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.