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Finding the Fourth Proportional to 1,169.71, 1,754.91 and 348.01

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Solution

The fourth proportional to 1,169.71, 1,754.91 and 348.01 is: 522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.71 : 1,754.91 = 348.01 : x
  2. Step 2: Convert to fraction form
    1,169.71/1,754.91 = 348.01/x
  3. Step 3: Cross multiply
    1,169.71x = 1,754.91 × 348.01
  4. Step 4: Simplify right side
    1,169.71x = 610,726.23
  5. Step 5: Solve for x
    x = 610,726.23/1,169.71
  6. Step 6: Final answer
    x = 522.12

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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.