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Finding the Fourth Proportional to 1,379.40, 2,068.38 and 557.45

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Solution

The fourth proportional to 1,379.40, 2,068.38 and 557.45 is: 835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.40 : 2,068.38 = 557.45 : x
  2. Step 2: Convert to fraction form
    1,379.40/2,068.38 = 557.45/x
  3. Step 3: Cross multiply
    1,379.40x = 2,068.38 × 557.45
  4. Step 4: Simplify right side
    1,379.40x = 1,153,008.09
  5. Step 5: Solve for x
    x = 1,153,008.09/1,379.40
  6. Step 6: Final answer
    x = 835.88

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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.