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Finding the Fourth Proportional to 1,319.04, 1,978.54 and 394.60

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Solution

The fourth proportional to 1,319.04, 1,978.54 and 394.60 is: 591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.04 : 1,978.54 = 394.60 : x
  2. Step 2: Convert to fraction form
    1,319.04/1,978.54 = 394.60/x
  3. Step 3: Cross multiply
    1,319.04x = 1,978.54 × 394.60
  4. Step 4: Simplify right side
    1,319.04x = 780,729.91
  5. Step 5: Solve for x
    x = 780,729.91/1,319.04
  6. Step 6: Final answer
    x = 591.89

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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.