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Finding the Fourth Proportional to 954.60, 1,316.86 and 823.38

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Solution

The fourth proportional to 954.60, 1,316.86 and 823.38 is: 1,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.60 : 1,316.86 = 823.38 : x
  2. Step 2: Convert to fraction form
    954.60/1,316.86 = 823.38/x
  3. Step 3: Cross multiply
    954.60x = 1,316.86 × 823.38
  4. Step 4: Simplify right side
    954.60x = 1,084,276.19
  5. Step 5: Solve for x
    x = 1,084,276.19/954.60
  6. Step 6: Final answer
    x = 1,135.84

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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.