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Finding the Fourth Proportional to 1,163.95, 1,746.39 and 615.98

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Solution

The fourth proportional to 1,163.95, 1,746.39 and 615.98 is: 924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.95 : 1,746.39 = 615.98 : x
  2. Step 2: Convert to fraction form
    1,163.95/1,746.39 = 615.98/x
  3. Step 3: Cross multiply
    1,163.95x = 1,746.39 × 615.98
  4. Step 4: Simplify right side
    1,163.95x = 1,075,741.31
  5. Step 5: Solve for x
    x = 1,075,741.31/1,163.95
  6. Step 6: Final answer
    x = 924.22

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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.