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Finding the Fourth Proportional to 1,288.73, 1,934.09 and 595.70

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Solution

The fourth proportional to 1,288.73, 1,934.09 and 595.70 is: 894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.73 : 1,934.09 = 595.70 : x
  2. Step 2: Convert to fraction form
    1,288.73/1,934.09 = 595.70/x
  3. Step 3: Cross multiply
    1,288.73x = 1,934.09 × 595.70
  4. Step 4: Simplify right side
    1,288.73x = 1,152,137.41
  5. Step 5: Solve for x
    x = 1,152,137.41/1,288.73
  6. Step 6: Final answer
    x = 894.01

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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.