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Finding the Fourth Proportional to 1,415.04, 1,952.64 and 793.92

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Solution

The fourth proportional to 1,415.04, 1,952.64 and 793.92 is: 1,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.04 : 1,952.64 = 793.92 : x
  2. Step 2: Convert to fraction form
    1,415.04/1,952.64 = 793.92/x
  3. Step 3: Cross multiply
    1,415.04x = 1,952.64 × 793.92
  4. Step 4: Simplify right side
    1,415.04x = 1,550,239.95
  5. Step 5: Solve for x
    x = 1,550,239.95/1,415.04
  6. Step 6: Final answer
    x = 1,095.54

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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.