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Finding the Fourth Proportional to 1,055.45, 1,456.55 and 589.70

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Solution

The fourth proportional to 1,055.45, 1,456.55 and 589.70 is: 813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.45 : 1,456.55 = 589.70 : x
  2. Step 2: Convert to fraction form
    1,055.45/1,456.55 = 589.70/x
  3. Step 3: Cross multiply
    1,055.45x = 1,456.55 × 589.70
  4. Step 4: Simplify right side
    1,055.45x = 858,917.30
  5. Step 5: Solve for x
    x = 858,917.30/1,055.45
  6. Step 6: Final answer
    x = 813.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.