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Finding the Fourth Proportional to 852.89, 1,176.67 and 558.32

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Solution

The fourth proportional to 852.89, 1,176.67 and 558.32 is: 770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.89 : 1,176.67 = 558.32 : x
  2. Step 2: Convert to fraction form
    852.89/1,176.67 = 558.32/x
  3. Step 3: Cross multiply
    852.89x = 1,176.67 × 558.32
  4. Step 4: Simplify right side
    852.89x = 656,959.83
  5. Step 5: Solve for x
    x = 656,959.83/852.89
  6. Step 6: Final answer
    x = 770.28

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1.5x scale

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.