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Finding the Fourth Proportional to 1,188.60, 1,636.78 and 815.20

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Solution

The fourth proportional to 1,188.60, 1,636.78 and 815.20 is: 1,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.60 : 1,636.78 = 815.20 : x
  2. Step 2: Convert to fraction form
    1,188.60/1,636.78 = 815.20/x
  3. Step 3: Cross multiply
    1,188.60x = 1,636.78 × 815.20
  4. Step 4: Simplify right side
    1,188.60x = 1,334,303.06
  5. Step 5: Solve for x
    x = 1,334,303.06/1,188.60
  6. Step 6: Final answer
    x = 1,122.58

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Why These Related Problems?

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