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Finding the Fourth Proportional to 1,728.32, 2,591.70 and 632

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Solution

The fourth proportional to 1,728.32, 2,591.70 and 632 is: 947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.32 : 2,591.70 = 632 : x
  2. Step 2: Convert to fraction form
    1,728.32/2,591.70 = 632/x
  3. Step 3: Cross multiply
    1,728.32x = 2,591.70 × 632
  4. Step 4: Simplify right side
    1,728.32x = 1,637,954.40
  5. Step 5: Solve for x
    x = 1,637,954.40/1,728.32
  6. Step 6: Final answer
    x = 947.71

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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.