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Finding the Fourth Proportional to 1,218.58, 1,681.23 and 694.24

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Solution

The fourth proportional to 1,218.58, 1,681.23 and 694.24 is: 957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.58 : 1,681.23 = 694.24 : x
  2. Step 2: Convert to fraction form
    1,218.58/1,681.23 = 694.24/x
  3. Step 3: Cross multiply
    1,218.58x = 1,681.23 × 694.24
  4. Step 4: Simplify right side
    1,218.58x = 1,167,177.12
  5. Step 5: Solve for x
    x = 1,167,177.12/1,218.58
  6. Step 6: Final answer
    x = 957.82

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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.