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Finding the Fourth Proportional to 1,063.82, 1,596.67 and 570.63

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Solution

The fourth proportional to 1,063.82, 1,596.67 and 570.63 is: 856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.82 : 1,596.67 = 570.63 : x
  2. Step 2: Convert to fraction form
    1,063.82/1,596.67 = 570.63/x
  3. Step 3: Cross multiply
    1,063.82x = 1,596.67 × 570.63
  4. Step 4: Simplify right side
    1,063.82x = 911,107.80
  5. Step 5: Solve for x
    x = 911,107.80/1,063.82
  6. Step 6: Final answer
    x = 856.45

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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.