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Finding the Fourth Proportional to 1,393.58, 2,088.79 and 570.80

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Solution

The fourth proportional to 1,393.58, 2,088.79 and 570.80 is: 855.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.58 : 2,088.79 = 570.80 : x
  2. Step 2: Convert to fraction form
    1,393.58/2,088.79 = 570.80/x
  3. Step 3: Cross multiply
    1,393.58x = 2,088.79 × 570.80
  4. Step 4: Simplify right side
    1,393.58x = 1,192,281.33
  5. Step 5: Solve for x
    x = 1,192,281.33/1,393.58
  6. Step 6: Final answer
    x = 855.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.