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Finding the Fourth Proportional to 1,349.56, 2,023.48 and 527.11

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Solution

The fourth proportional to 1,349.56, 2,023.48 and 527.11 is: 790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.56 : 2,023.48 = 527.11 : x
  2. Step 2: Convert to fraction form
    1,349.56/2,023.48 = 527.11/x
  3. Step 3: Cross multiply
    1,349.56x = 2,023.48 × 527.11
  4. Step 4: Simplify right side
    1,349.56x = 1,066,592.14
  5. Step 5: Solve for x
    x = 1,066,592.14/1,349.56
  6. Step 6: Final answer
    x = 790.33

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Why These Related Problems?

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