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Finding the Fourth Proportional to 795.40, 1,193.07 and 430.90

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Solution

The fourth proportional to 795.40, 1,193.07 and 430.90 is: 646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.40 : 1,193.07 = 430.90 : x
  2. Step 2: Convert to fraction form
    795.40/1,193.07 = 430.90/x
  3. Step 3: Cross multiply
    795.40x = 1,193.07 × 430.90
  4. Step 4: Simplify right side
    795.40x = 514,093.86
  5. Step 5: Solve for x
    x = 514,093.86/795.40
  6. Step 6: Final answer
    x = 646.33

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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.