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Finding the Fourth Proportional to 1,319.79, 1,980.41 and 670.58

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Solution

The fourth proportional to 1,319.79, 1,980.41 and 670.58 is: 1,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.79 : 1,980.41 = 670.58 : x
  2. Step 2: Convert to fraction form
    1,319.79/1,980.41 = 670.58/x
  3. Step 3: Cross multiply
    1,319.79x = 1,980.41 × 670.58
  4. Step 4: Simplify right side
    1,319.79x = 1,328,023.34
  5. Step 5: Solve for x
    x = 1,328,023.34/1,319.79
  6. Step 6: Final answer
    x = 1,006.24

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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.