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Finding the Fourth Proportional to 1,700.99, 2,551.85 and 776.28

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Solution

The fourth proportional to 1,700.99, 2,551.85 and 776.28 is: 1,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.99 : 2,551.85 = 776.28 : x
  2. Step 2: Convert to fraction form
    1,700.99/2,551.85 = 776.28/x
  3. Step 3: Cross multiply
    1,700.99x = 2,551.85 × 776.28
  4. Step 4: Simplify right side
    1,700.99x = 1,980,946.24
  5. Step 5: Solve for x
    x = 1,980,946.24/1,700.99
  6. Step 6: Final answer
    x = 1,164.59

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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.