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Finding the Fourth Proportional to 1,728.48, 2,591.16 and 632.07

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Solution

The fourth proportional to 1,728.48, 2,591.16 and 632.07 is: 947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.48 : 2,591.16 = 632.07 : x
  2. Step 2: Convert to fraction form
    1,728.48/2,591.16 = 632.07/x
  3. Step 3: Cross multiply
    1,728.48x = 2,591.16 × 632.07
  4. Step 4: Simplify right side
    1,728.48x = 1,637,791.34
  5. Step 5: Solve for x
    x = 1,637,791.34/1,728.48
  6. Step 6: Final answer
    x = 947.54

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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.