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Finding the Fourth Proportional to 1,230.90, 1,698.59 and 671.39

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Solution

The fourth proportional to 1,230.90, 1,698.59 and 671.39 is: 926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.90 : 1,698.59 = 671.39 : x
  2. Step 2: Convert to fraction form
    1,230.90/1,698.59 = 671.39/x
  3. Step 3: Cross multiply
    1,230.90x = 1,698.59 × 671.39
  4. Step 4: Simplify right side
    1,230.90x = 1,140,412.98
  5. Step 5: Solve for x
    x = 1,140,412.98/1,230.90
  6. Step 6: Final answer
    x = 926.49

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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.