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Finding the Fourth Proportional to 920.00, 1,380.08 and 795.35

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Solution

The fourth proportional to 920.00, 1,380.08 and 795.35 is: 1,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.00 : 1,380.08 = 795.35 : x
  2. Step 2: Convert to fraction form
    920.00/1,380.08 = 795.35/x
  3. Step 3: Cross multiply
    920.00x = 1,380.08 × 795.35
  4. Step 4: Simplify right side
    920.00x = 1,097,652.07
  5. Step 5: Solve for x
    x = 1,097,652.07/920.00
  6. Step 6: Final answer
    x = 1,193.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.