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Finding the Fourth Proportional to 1,185.48, 1,777.13 and 454.91

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Solution

The fourth proportional to 1,185.48, 1,777.13 and 454.91 is: 681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.48 : 1,777.13 = 454.91 : x
  2. Step 2: Convert to fraction form
    1,185.48/1,777.13 = 454.91/x
  3. Step 3: Cross multiply
    1,185.48x = 1,777.13 × 454.91
  4. Step 4: Simplify right side
    1,185.48x = 808,434.21
  5. Step 5: Solve for x
    x = 808,434.21/1,185.48
  6. Step 6: Final answer
    x = 681.95

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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.