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Finding the Fourth Proportional to 1,188.04, 1,780.84 and 570.82

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Solution

The fourth proportional to 1,188.04, 1,780.84 and 570.82 is: 855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.04 : 1,780.84 = 570.82 : x
  2. Step 2: Convert to fraction form
    1,188.04/1,780.84 = 570.82/x
  3. Step 3: Cross multiply
    1,188.04x = 1,780.84 × 570.82
  4. Step 4: Simplify right side
    1,188.04x = 1,016,539.09
  5. Step 5: Solve for x
    x = 1,016,539.09/1,188.04
  6. Step 6: Final answer
    x = 855.64

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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.