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Finding the Fourth Proportional to 1,055.50, 1,456.59 and 589.75

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Solution

The fourth proportional to 1,055.50, 1,456.59 and 589.75 is: 813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.50 : 1,456.59 = 589.75 : x
  2. Step 2: Convert to fraction form
    1,055.50/1,456.59 = 589.75/x
  3. Step 3: Cross multiply
    1,055.50x = 1,456.59 × 589.75
  4. Step 4: Simplify right side
    1,055.50x = 859,023.95
  5. Step 5: Solve for x
    x = 859,023.95/1,055.50
  6. Step 6: Final answer
    x = 813.86

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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.