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Finding the Fourth Proportional to 1,153.84, 1,729.21 and 633.06

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Solution

The fourth proportional to 1,153.84, 1,729.21 and 633.06 is: 948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.84 : 1,729.21 = 633.06 : x
  2. Step 2: Convert to fraction form
    1,153.84/1,729.21 = 633.06/x
  3. Step 3: Cross multiply
    1,153.84x = 1,729.21 × 633.06
  4. Step 4: Simplify right side
    1,153.84x = 1,094,693.68
  5. Step 5: Solve for x
    x = 1,094,693.68/1,153.84
  6. Step 6: Final answer
    x = 948.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.