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Finding the Fourth Proportional to 1,184.63, 1,634.79 and 653.53

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Solution

The fourth proportional to 1,184.63, 1,634.79 and 653.53 is: 901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.63 : 1,634.79 = 653.53 : x
  2. Step 2: Convert to fraction form
    1,184.63/1,634.79 = 653.53/x
  3. Step 3: Cross multiply
    1,184.63x = 1,634.79 × 653.53
  4. Step 4: Simplify right side
    1,184.63x = 1,068,381.14
  5. Step 5: Solve for x
    x = 1,068,381.14/1,184.63
  6. Step 6: Final answer
    x = 901.87

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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.