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Finding the Fourth Proportional to 1,701.58, 2,551.08 and 776.62

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Solution

The fourth proportional to 1,701.58, 2,551.08 and 776.62 is: 1,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.58 : 2,551.08 = 776.62 : x
  2. Step 2: Convert to fraction form
    1,701.58/2,551.08 = 776.62/x
  3. Step 3: Cross multiply
    1,701.58x = 2,551.08 × 776.62
  4. Step 4: Simplify right side
    1,701.58x = 1,981,219.75
  5. Step 5: Solve for x
    x = 1,981,219.75/1,701.58
  6. Step 6: Final answer
    x = 1,164.34

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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.