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Finding the Fourth Proportional to 1,132, 1,696.40 and 582.96

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Solution

The fourth proportional to 1,132, 1,696.40 and 582.96 is: 873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132 : 1,696.40 = 582.96 : x
  2. Step 2: Convert to fraction form
    1,132/1,696.40 = 582.96/x
  3. Step 3: Cross multiply
    1,132x = 1,696.40 × 582.96
  4. Step 4: Simplify right side
    1,132x = 988,933.34
  5. Step 5: Solve for x
    x = 988,933.34/1,132
  6. Step 6: Final answer
    x = 873.62

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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.