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Finding the Fourth Proportional to 1,728, 2,590.45 and 632.14

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Solution

The fourth proportional to 1,728, 2,590.45 and 632.14 is: 947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 2,590.45 = 632.14 : x
  2. Step 2: Convert to fraction form
    1,728/2,590.45 = 632.14/x
  3. Step 3: Cross multiply
    1,728x = 2,590.45 × 632.14
  4. Step 4: Simplify right side
    1,728x = 1,637,519.01
  5. Step 5: Solve for x
    x = 1,637,519.01/1,728
  6. Step 6: Final answer
    x = 947.64

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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.