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Finding the Fourth Proportional to 1,348.74, 2,023.41 and 527.09

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Solution

The fourth proportional to 1,348.74, 2,023.41 and 527.09 is: 790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.74 : 2,023.41 = 527.09 : x
  2. Step 2: Convert to fraction form
    1,348.74/2,023.41 = 527.09/x
  3. Step 3: Cross multiply
    1,348.74x = 2,023.41 × 527.09
  4. Step 4: Simplify right side
    1,348.74x = 1,066,509.06
  5. Step 5: Solve for x
    x = 1,066,509.06/1,348.74
  6. Step 6: Final answer
    x = 790.74

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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.