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Finding the Fourth Proportional to 1,168.42, 1,752.81 and 437.95

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Solution

The fourth proportional to 1,168.42, 1,752.81 and 437.95 is: 656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.42 : 1,752.81 = 437.95 : x
  2. Step 2: Convert to fraction form
    1,168.42/1,752.81 = 437.95/x
  3. Step 3: Cross multiply
    1,168.42x = 1,752.81 × 437.95
  4. Step 4: Simplify right side
    1,168.42x = 767,643.14
  5. Step 5: Solve for x
    x = 767,643.14/1,168.42
  6. Step 6: Final answer
    x = 656.99

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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.