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Finding the Fourth Proportional to 1,219.86, 1,829.79 and 706.50

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Solution

The fourth proportional to 1,219.86, 1,829.79 and 706.50 is: 1,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.86 : 1,829.79 = 706.50 : x
  2. Step 2: Convert to fraction form
    1,219.86/1,829.79 = 706.50/x
  3. Step 3: Cross multiply
    1,219.86x = 1,829.79 × 706.50
  4. Step 4: Simplify right side
    1,219.86x = 1,292,746.64
  5. Step 5: Solve for x
    x = 1,292,746.64/1,219.86
  6. Step 6: Final answer
    x = 1,059.75

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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.