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Finding the Fourth Proportional to 1,193.35, 1,780.11 and 999.61

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Solution

The fourth proportional to 1,193.35, 1,780.11 and 999.61 is: 1,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.35 : 1,780.11 = 999.61 : x
  2. Step 2: Convert to fraction form
    1,193.35/1,780.11 = 999.61/x
  3. Step 3: Cross multiply
    1,193.35x = 1,780.11 × 999.61
  4. Step 4: Simplify right side
    1,193.35x = 1,779,415.76
  5. Step 5: Solve for x
    x = 1,779,415.76/1,193.35
  6. Step 6: Final answer
    x = 1,491.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.