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Finding the Fourth Proportional to 1,230.90, 1,698.56 and 919.86

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Solution

The fourth proportional to 1,230.90, 1,698.56 and 919.86 is: 1,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.90 : 1,698.56 = 919.86 : x
  2. Step 2: Convert to fraction form
    1,230.90/1,698.56 = 919.86/x
  3. Step 3: Cross multiply
    1,230.90x = 1,698.56 × 919.86
  4. Step 4: Simplify right side
    1,230.90x = 1,562,437.40
  5. Step 5: Solve for x
    x = 1,562,437.40/1,230.90
  6. Step 6: Final answer
    x = 1,269.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.