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Finding the Fourth Proportional to 1,403.20, 1,935.92 and 813.60

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Solution

The fourth proportional to 1,403.20, 1,935.92 and 813.60 is: 1,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.20 : 1,935.92 = 813.60 : x
  2. Step 2: Convert to fraction form
    1,403.20/1,935.92 = 813.60/x
  3. Step 3: Cross multiply
    1,403.20x = 1,935.92 × 813.60
  4. Step 4: Simplify right side
    1,403.20x = 1,575,064.51
  5. Step 5: Solve for x
    x = 1,575,064.51/1,403.20
  6. Step 6: Final answer
    x = 1,122.48

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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.