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Finding the Fourth Proportional to 1,404.81, 1,937.79 and 1,032.75

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Solution

The fourth proportional to 1,404.81, 1,937.79 and 1,032.75 is: 1,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.81 : 1,937.79 = 1,032.75 : x
  2. Step 2: Convert to fraction form
    1,404.81/1,937.79 = 1,032.75/x
  3. Step 3: Cross multiply
    1,404.81x = 1,937.79 × 1,032.75
  4. Step 4: Simplify right side
    1,404.81x = 2,001,252.62
  5. Step 5: Solve for x
    x = 2,001,252.62/1,404.81
  6. Step 6: Final answer
    x = 1,424.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.