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Finding the Fourth Proportional to 795.60, 1,188.36 and 632.79

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Solution

The fourth proportional to 795.60, 1,188.36 and 632.79 is: 945.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.60 : 1,188.36 = 632.79 : x
  2. Step 2: Convert to fraction form
    795.60/1,188.36 = 632.79/x
  3. Step 3: Cross multiply
    795.60x = 1,188.36 × 632.79
  4. Step 4: Simplify right side
    795.60x = 751,982.32
  5. Step 5: Solve for x
    x = 751,982.32/795.60
  6. Step 6: Final answer
    x = 945.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.