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Finding the Fourth Proportional to 1,443.69, 2,165.52 and 348.05

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Solution

The fourth proportional to 1,443.69, 2,165.52 and 348.05 is: 522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.69 : 2,165.52 = 348.05 : x
  2. Step 2: Convert to fraction form
    1,443.69/2,165.52 = 348.05/x
  3. Step 3: Cross multiply
    1,443.69x = 2,165.52 × 348.05
  4. Step 4: Simplify right side
    1,443.69x = 753,703.28
  5. Step 5: Solve for x
    x = 753,703.28/1,443.69
  6. Step 6: Final answer
    x = 522.07

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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.