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Finding the Fourth Proportional to 1,063.97, 1,596.89 and 570.77

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Solution

The fourth proportional to 1,063.97, 1,596.89 and 570.77 is: 856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.97 : 1,596.89 = 570.77 : x
  2. Step 2: Convert to fraction form
    1,063.97/1,596.89 = 570.77/x
  3. Step 3: Cross multiply
    1,063.97x = 1,596.89 × 570.77
  4. Step 4: Simplify right side
    1,063.97x = 911,458.04
  5. Step 5: Solve for x
    x = 911,458.04/1,063.97
  6. Step 6: Final answer
    x = 856.66

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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.