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Finding the Fourth Proportional to 1,028.45, 1,417.04 and 859.82

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Solution

The fourth proportional to 1,028.45, 1,417.04 and 859.82 is: 1,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.45 : 1,417.04 = 859.82 : x
  2. Step 2: Convert to fraction form
    1,028.45/1,417.04 = 859.82/x
  3. Step 3: Cross multiply
    1,028.45x = 1,417.04 × 859.82
  4. Step 4: Simplify right side
    1,028.45x = 1,218,396.01
  5. Step 5: Solve for x
    x = 1,218,396.01/1,028.45
  6. Step 6: Final answer
    x = 1,184.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.