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Finding the Fourth Proportional to 1,319.94, 1,821.50 and 730.48

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Solution

The fourth proportional to 1,319.94, 1,821.50 and 730.48 is: 1,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.94 : 1,821.50 = 730.48 : x
  2. Step 2: Convert to fraction form
    1,319.94/1,821.50 = 730.48/x
  3. Step 3: Cross multiply
    1,319.94x = 1,821.50 × 730.48
  4. Step 4: Simplify right side
    1,319.94x = 1,330,570.22
  5. Step 5: Solve for x
    x = 1,330,570.22/1,319.94
  6. Step 6: Final answer
    x = 1,008.05

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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.