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Finding the Fourth Proportional to 959.15, 1,431.73 and 823.07

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Solution

The fourth proportional to 959.15, 1,431.73 and 823.07 is: 1,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.15 : 1,431.73 = 823.07 : x
  2. Step 2: Convert to fraction form
    959.15/1,431.73 = 823.07/x
  3. Step 3: Cross multiply
    959.15x = 1,431.73 × 823.07
  4. Step 4: Simplify right side
    959.15x = 1,178,419.76
  5. Step 5: Solve for x
    x = 1,178,419.76/959.15
  6. Step 6: Final answer
    x = 1,228.60

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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.