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Finding the Fourth Proportional to 1,700.37, 2,550.92 and 514.35

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Solution

The fourth proportional to 1,700.37, 2,550.92 and 514.35 is: 771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.37 : 2,550.92 = 514.35 : x
  2. Step 2: Convert to fraction form
    1,700.37/2,550.92 = 514.35/x
  3. Step 3: Cross multiply
    1,700.37x = 2,550.92 × 514.35
  4. Step 4: Simplify right side
    1,700.37x = 1,312,065.70
  5. Step 5: Solve for x
    x = 1,312,065.70/1,700.37
  6. Step 6: Final answer
    x = 771.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.