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Finding the Fourth Proportional to 1,215.77, 1,823.73 and 350.06

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Solution

The fourth proportional to 1,215.77, 1,823.73 and 350.06 is: 525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.77 : 1,823.73 = 350.06 : x
  2. Step 2: Convert to fraction form
    1,215.77/1,823.73 = 350.06/x
  3. Step 3: Cross multiply
    1,215.77x = 1,823.73 × 350.06
  4. Step 4: Simplify right side
    1,215.77x = 638,419.48
  5. Step 5: Solve for x
    x = 638,419.48/1,215.77
  6. Step 6: Final answer
    x = 525.11

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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.