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Finding the Fourth Proportional to 1,167.34, 1,752.63 and 619.78

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Solution

The fourth proportional to 1,167.34, 1,752.63 and 619.78 is: 930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.34 : 1,752.63 = 619.78 : x
  2. Step 2: Convert to fraction form
    1,167.34/1,752.63 = 619.78/x
  3. Step 3: Cross multiply
    1,167.34x = 1,752.63 × 619.78
  4. Step 4: Simplify right side
    1,167.34x = 1,086,245.02
  5. Step 5: Solve for x
    x = 1,086,245.02/1,167.34
  6. Step 6: Final answer
    x = 930.53

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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.