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Finding the Fourth Proportional to 852.95, 1,176.39 and 573.00

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Solution

The fourth proportional to 852.95, 1,176.39 and 573.00 is: 790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.95 : 1,176.39 = 573.00 : x
  2. Step 2: Convert to fraction form
    852.95/1,176.39 = 573.00/x
  3. Step 3: Cross multiply
    852.95x = 1,176.39 × 573.00
  4. Step 4: Simplify right side
    852.95x = 674,067.06
  5. Step 5: Solve for x
    x = 674,067.06/852.95
  6. Step 6: Final answer
    x = 790.28

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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.