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Finding the Fourth Proportional to 1,219.07, 1,828.80 and 526.07

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Solution

The fourth proportional to 1,219.07, 1,828.80 and 526.07 is: 789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.07 : 1,828.80 = 526.07 : x
  2. Step 2: Convert to fraction form
    1,219.07/1,828.80 = 526.07/x
  3. Step 3: Cross multiply
    1,219.07x = 1,828.80 × 526.07
  4. Step 4: Simplify right side
    1,219.07x = 962,076.82
  5. Step 5: Solve for x
    x = 962,076.82/1,219.07
  6. Step 6: Final answer
    x = 789.19

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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.