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Finding the Fourth Proportional to 1,222.98, 1,834.74 and 390.03

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Solution

The fourth proportional to 1,222.98, 1,834.74 and 390.03 is: 585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.98 : 1,834.74 = 390.03 : x
  2. Step 2: Convert to fraction form
    1,222.98/1,834.74 = 390.03/x
  3. Step 3: Cross multiply
    1,222.98x = 1,834.74 × 390.03
  4. Step 4: Simplify right side
    1,222.98x = 715,603.64
  5. Step 5: Solve for x
    x = 715,603.64/1,222.98
  6. Step 6: Final answer
    x = 585.13

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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.