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Finding the Fourth Proportional to 1,319.94, 1,978.83 and 497.75

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Solution

The fourth proportional to 1,319.94, 1,978.83 and 497.75 is: 746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.94 : 1,978.83 = 497.75 : x
  2. Step 2: Convert to fraction form
    1,319.94/1,978.83 = 497.75/x
  3. Step 3: Cross multiply
    1,319.94x = 1,978.83 × 497.75
  4. Step 4: Simplify right side
    1,319.94x = 984,952.74
  5. Step 5: Solve for x
    x = 984,952.74/1,319.94
  6. Step 6: Final answer
    x = 746.21

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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.