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Finding the Fourth Proportional to 1,292.02, 1,782.74 and 794.50

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Solution

The fourth proportional to 1,292.02, 1,782.74 and 794.50 is: 1,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.02 : 1,782.74 = 794.50 : x
  2. Step 2: Convert to fraction form
    1,292.02/1,782.74 = 794.50/x
  3. Step 3: Cross multiply
    1,292.02x = 1,782.74 × 794.50
  4. Step 4: Simplify right side
    1,292.02x = 1,416,386.93
  5. Step 5: Solve for x
    x = 1,416,386.93/1,292.02
  6. Step 6: Final answer
    x = 1,096.26

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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.