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Finding the Fourth Proportional to 1,055.14, 1,456.14 and 589.36

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Solution

The fourth proportional to 1,055.14, 1,456.14 and 589.36 is: 813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.14 : 1,456.14 = 589.36 : x
  2. Step 2: Convert to fraction form
    1,055.14/1,456.14 = 589.36/x
  3. Step 3: Cross multiply
    1,055.14x = 1,456.14 × 589.36
  4. Step 4: Simplify right side
    1,055.14x = 858,190.67
  5. Step 5: Solve for x
    x = 858,190.67/1,055.14
  6. Step 6: Final answer
    x = 813.34

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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.