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Finding the Fourth Proportional to 1,182.34, 1,773.51 and 316.63

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Solution

The fourth proportional to 1,182.34, 1,773.51 and 316.63 is: 474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.34 : 1,773.51 = 316.63 : x
  2. Step 2: Convert to fraction form
    1,182.34/1,773.51 = 316.63/x
  3. Step 3: Cross multiply
    1,182.34x = 1,773.51 × 316.63
  4. Step 4: Simplify right side
    1,182.34x = 561,546.47
  5. Step 5: Solve for x
    x = 561,546.47/1,182.34
  6. Step 6: Final answer
    x = 474.95

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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.