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Finding the Fourth Proportional to 1,293.02, 1,784.12 and 795.50

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Solution

The fourth proportional to 1,293.02, 1,784.12 and 795.50 is: 1,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.02 : 1,784.12 = 795.50 : x
  2. Step 2: Convert to fraction form
    1,293.02/1,784.12 = 795.50/x
  3. Step 3: Cross multiply
    1,293.02x = 1,784.12 × 795.50
  4. Step 4: Simplify right side
    1,293.02x = 1,419,267.46
  5. Step 5: Solve for x
    x = 1,419,267.46/1,293.02
  6. Step 6: Final answer
    x = 1,097.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.