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Finding the Fourth Proportional to 1,011.77, 1,395.64 and 618.11

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Solution

The fourth proportional to 1,011.77, 1,395.64 and 618.11 is: 852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.77 : 1,395.64 = 618.11 : x
  2. Step 2: Convert to fraction form
    1,011.77/1,395.64 = 618.11/x
  3. Step 3: Cross multiply
    1,011.77x = 1,395.64 × 618.11
  4. Step 4: Simplify right side
    1,011.77x = 862,655.95
  5. Step 5: Solve for x
    x = 862,655.95/1,011.77
  6. Step 6: Final answer
    x = 852.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.