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Finding the Fourth Proportional to 1,700.23, 2,551.03 and 776.22

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Solution

The fourth proportional to 1,700.23, 2,551.03 and 776.22 is: 1,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.23 : 2,551.03 = 776.22 : x
  2. Step 2: Convert to fraction form
    1,700.23/2,551.03 = 776.22/x
  3. Step 3: Cross multiply
    1,700.23x = 2,551.03 × 776.22
  4. Step 4: Simplify right side
    1,700.23x = 1,980,156.63
  5. Step 5: Solve for x
    x = 1,980,156.63/1,700.23
  6. Step 6: Final answer
    x = 1,164.64

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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.