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Finding the Fourth Proportional to 1,303.76, 1,954.20 and 437.42

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Solution

The fourth proportional to 1,303.76, 1,954.20 and 437.42 is: 655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.76 : 1,954.20 = 437.42 : x
  2. Step 2: Convert to fraction form
    1,303.76/1,954.20 = 437.42/x
  3. Step 3: Cross multiply
    1,303.76x = 1,954.20 × 437.42
  4. Step 4: Simplify right side
    1,303.76x = 854,806.16
  5. Step 5: Solve for x
    x = 854,806.16/1,303.76
  6. Step 6: Final answer
    x = 655.65

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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.