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Finding the Fourth Proportional to 1,303.74, 1,954.94 and 437.76

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Solution

The fourth proportional to 1,303.74, 1,954.94 and 437.76 is: 656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.74 : 1,954.94 = 437.76 : x
  2. Step 2: Convert to fraction form
    1,303.74/1,954.94 = 437.76/x
  3. Step 3: Cross multiply
    1,303.74x = 1,954.94 × 437.76
  4. Step 4: Simplify right side
    1,303.74x = 855,794.53
  5. Step 5: Solve for x
    x = 855,794.53/1,303.74
  6. Step 6: Final answer
    x = 656.42

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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.