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Finding the Fourth Proportional to 1,416, 1,954.16 and 795.04

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Solution

The fourth proportional to 1,416, 1,954.16 and 795.04 is: 1,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416 : 1,954.16 = 795.04 : x
  2. Step 2: Convert to fraction form
    1,416/1,954.16 = 795.04/x
  3. Step 3: Cross multiply
    1,416x = 1,954.16 × 795.04
  4. Step 4: Simplify right side
    1,416x = 1,553,635.37
  5. Step 5: Solve for x
    x = 1,553,635.37/1,416
  6. Step 6: Final answer
    x = 1,097.20

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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.