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Finding the Fourth Proportional to 737.71, 1,018.74 and 632.19

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Solution

The fourth proportional to 737.71, 1,018.74 and 632.19 is: 873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.71 : 1,018.74 = 632.19 : x
  2. Step 2: Convert to fraction form
    737.71/1,018.74 = 632.19/x
  3. Step 3: Cross multiply
    737.71x = 1,018.74 × 632.19
  4. Step 4: Simplify right side
    737.71x = 644,037.24
  5. Step 5: Solve for x
    x = 644,037.24/737.71
  6. Step 6: Final answer
    x = 873.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.