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Finding the Fourth Proportional to 796.57, 1,194.12 and 430.93

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Solution

The fourth proportional to 796.57, 1,194.12 and 430.93 is: 646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.57 : 1,194.12 = 430.93 : x
  2. Step 2: Convert to fraction form
    796.57/1,194.12 = 430.93/x
  3. Step 3: Cross multiply
    796.57x = 1,194.12 × 430.93
  4. Step 4: Simplify right side
    796.57x = 514,582.13
  5. Step 5: Solve for x
    x = 514,582.13/796.57
  6. Step 6: Final answer
    x = 646.00

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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.