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Finding the Fourth Proportional to 1,208.26, 1,666.88 and 814.60

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Solution

The fourth proportional to 1,208.26, 1,666.88 and 814.60 is: 1,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.26 : 1,666.88 = 814.60 : x
  2. Step 2: Convert to fraction form
    1,208.26/1,666.88 = 814.60/x
  3. Step 3: Cross multiply
    1,208.26x = 1,666.88 × 814.60
  4. Step 4: Simplify right side
    1,208.26x = 1,357,840.45
  5. Step 5: Solve for x
    x = 1,357,840.45/1,208.26
  6. Step 6: Final answer
    x = 1,123.80

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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.