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Finding the Fourth Proportional to 1,014.40, 1,399.74 and 594.70

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Solution

The fourth proportional to 1,014.40, 1,399.74 and 594.70 is: 820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.40 : 1,399.74 = 594.70 : x
  2. Step 2: Convert to fraction form
    1,014.40/1,399.74 = 594.70/x
  3. Step 3: Cross multiply
    1,014.40x = 1,399.74 × 594.70
  4. Step 4: Simplify right side
    1,014.40x = 832,425.38
  5. Step 5: Solve for x
    x = 832,425.38/1,014.40
  6. Step 6: Final answer
    x = 820.61

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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.