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Finding the Fourth Proportional to 1,319.15, 1,978.94 and 497.49

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Solution

The fourth proportional to 1,319.15, 1,978.94 and 497.49 is: 746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.15 : 1,978.94 = 497.49 : x
  2. Step 2: Convert to fraction form
    1,319.15/1,978.94 = 497.49/x
  3. Step 3: Cross multiply
    1,319.15x = 1,978.94 × 497.49
  4. Step 4: Simplify right side
    1,319.15x = 984,500.37
  5. Step 5: Solve for x
    x = 984,500.37/1,319.15
  6. Step 6: Final answer
    x = 746.32

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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.