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Finding the Fourth Proportional to 1,316.84, 1,976.47 and 668.03

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Solution

The fourth proportional to 1,316.84, 1,976.47 and 668.03 is: 1,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.84 : 1,976.47 = 668.03 : x
  2. Step 2: Convert to fraction form
    1,316.84/1,976.47 = 668.03/x
  3. Step 3: Cross multiply
    1,316.84x = 1,976.47 × 668.03
  4. Step 4: Simplify right side
    1,316.84x = 1,320,341.25
  5. Step 5: Solve for x
    x = 1,320,341.25/1,316.84
  6. Step 6: Final answer
    x = 1,002.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.