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Finding the Fourth Proportional to 1,442.80, 2,163.93 and 468.91

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Solution

The fourth proportional to 1,442.80, 2,163.93 and 468.91 is: 703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.80 : 2,163.93 = 468.91 : x
  2. Step 2: Convert to fraction form
    1,442.80/2,163.93 = 468.91/x
  3. Step 3: Cross multiply
    1,442.80x = 2,163.93 × 468.91
  4. Step 4: Simplify right side
    1,442.80x = 1,014,688.42
  5. Step 5: Solve for x
    x = 1,014,688.42/1,442.80
  6. Step 6: Final answer
    x = 703.28

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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.