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Finding the Fourth Proportional to 1,206.24, 1,664.40 and 740.64

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Solution

The fourth proportional to 1,206.24, 1,664.40 and 740.64 is: 1,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.24 : 1,664.40 = 740.64 : x
  2. Step 2: Convert to fraction form
    1,206.24/1,664.40 = 740.64/x
  3. Step 3: Cross multiply
    1,206.24x = 1,664.40 × 740.64
  4. Step 4: Simplify right side
    1,206.24x = 1,232,721.22
  5. Step 5: Solve for x
    x = 1,232,721.22/1,206.24
  6. Step 6: Final answer
    x = 1,021.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.