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Finding the Fourth Proportional to 696.51, 1,049.99 and 589.05

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Solution

The fourth proportional to 696.51, 1,049.99 and 589.05 is: 887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.51 : 1,049.99 = 589.05 : x
  2. Step 2: Convert to fraction form
    696.51/1,049.99 = 589.05/x
  3. Step 3: Cross multiply
    696.51x = 1,049.99 × 589.05
  4. Step 4: Simplify right side
    696.51x = 618,493.66
  5. Step 5: Solve for x
    x = 618,493.66/696.51
  6. Step 6: Final answer
    x = 887.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.