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Finding the Fourth Proportional to 1,349.41, 2,023.02 and 527.41

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Solution

The fourth proportional to 1,349.41, 2,023.02 and 527.41 is: 790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.41 : 2,023.02 = 527.41 : x
  2. Step 2: Convert to fraction form
    1,349.41/2,023.02 = 527.41/x
  3. Step 3: Cross multiply
    1,349.41x = 2,023.02 × 527.41
  4. Step 4: Simplify right side
    1,349.41x = 1,066,960.98
  5. Step 5: Solve for x
    x = 1,066,960.98/1,349.41
  6. Step 6: Final answer
    x = 790.69

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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.