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Finding the Fourth Proportional to 1,208.02, 1,666.83 and 766.07

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Solution

The fourth proportional to 1,208.02, 1,666.83 and 766.07 is: 1,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.02 : 1,666.83 = 766.07 : x
  2. Step 2: Convert to fraction form
    1,208.02/1,666.83 = 766.07/x
  3. Step 3: Cross multiply
    1,208.02x = 1,666.83 × 766.07
  4. Step 4: Simplify right side
    1,208.02x = 1,276,908.46
  5. Step 5: Solve for x
    x = 1,276,908.46/1,208.02
  6. Step 6: Final answer
    x = 1,057.03

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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.