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Finding the Fourth Proportional to 1,208.36, 1,666.58 and 765.84

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Solution

The fourth proportional to 1,208.36, 1,666.58 and 765.84 is: 1,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.36 : 1,666.58 = 765.84 : x
  2. Step 2: Convert to fraction form
    1,208.36/1,666.58 = 765.84/x
  3. Step 3: Cross multiply
    1,208.36x = 1,666.58 × 765.84
  4. Step 4: Simplify right side
    1,208.36x = 1,276,333.63
  5. Step 5: Solve for x
    x = 1,276,333.63/1,208.36
  6. Step 6: Final answer
    x = 1,056.25

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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.