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Finding the Fourth Proportional to 1,185.06, 1,777.62 and 454.70

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Solution

The fourth proportional to 1,185.06, 1,777.62 and 454.70 is: 682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.06 : 1,777.62 = 454.70 : x
  2. Step 2: Convert to fraction form
    1,185.06/1,777.62 = 454.70/x
  3. Step 3: Cross multiply
    1,185.06x = 1,777.62 × 454.70
  4. Step 4: Simplify right side
    1,185.06x = 808,283.81
  5. Step 5: Solve for x
    x = 808,283.81/1,185.06
  6. Step 6: Final answer
    x = 682.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.