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Finding the Fourth Proportional to 1,185.04, 1,777.76 and 527.15

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Solution

The fourth proportional to 1,185.04, 1,777.76 and 527.15 is: 790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.04 : 1,777.76 = 527.15 : x
  2. Step 2: Convert to fraction form
    1,185.04/1,777.76 = 527.15/x
  3. Step 3: Cross multiply
    1,185.04x = 1,777.76 × 527.15
  4. Step 4: Simplify right side
    1,185.04x = 937,134.66
  5. Step 5: Solve for x
    x = 937,134.66/1,185.04
  6. Step 6: Final answer
    x = 790.81

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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.