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Finding the Fourth Proportional to 1,219.98, 1,828.44 and 525.86

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Solution

The fourth proportional to 1,219.98, 1,828.44 and 525.86 is: 788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.98 : 1,828.44 = 525.86 : x
  2. Step 2: Convert to fraction form
    1,219.98/1,828.44 = 525.86/x
  3. Step 3: Cross multiply
    1,219.98x = 1,828.44 × 525.86
  4. Step 4: Simplify right side
    1,219.98x = 961,503.46
  5. Step 5: Solve for x
    x = 961,503.46/1,219.98
  6. Step 6: Final answer
    x = 788.13

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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.