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Finding the Fourth Proportional to 1,129.32, 1,693.98 and 582.12

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Solution

The fourth proportional to 1,129.32, 1,693.98 and 582.12 is: 873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.32 : 1,693.98 = 582.12 : x
  2. Step 2: Convert to fraction form
    1,129.32/1,693.98 = 582.12/x
  3. Step 3: Cross multiply
    1,129.32x = 1,693.98 × 582.12
  4. Step 4: Simplify right side
    1,129.32x = 986,099.64
  5. Step 5: Solve for x
    x = 986,099.64/1,129.32
  6. Step 6: Final answer
    x = 873.18

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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.