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Finding the Fourth Proportional to 1,219.77, 1,829.88 and 570.51

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Solution

The fourth proportional to 1,219.77, 1,829.88 and 570.51 is: 855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.77 : 1,829.88 = 570.51 : x
  2. Step 2: Convert to fraction form
    1,219.77/1,829.88 = 570.51/x
  3. Step 3: Cross multiply
    1,219.77x = 1,829.88 × 570.51
  4. Step 4: Simplify right side
    1,219.77x = 1,043,964.84
  5. Step 5: Solve for x
    x = 1,043,964.84/1,219.77
  6. Step 6: Final answer
    x = 855.87

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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.