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Finding the Fourth Proportional to 1,403.84, 2,105.86 and 582.14

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Solution

The fourth proportional to 1,403.84, 2,105.86 and 582.14 is: 873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.84 : 2,105.86 = 582.14 : x
  2. Step 2: Convert to fraction form
    1,403.84/2,105.86 = 582.14/x
  3. Step 3: Cross multiply
    1,403.84x = 2,105.86 × 582.14
  4. Step 4: Simplify right side
    1,403.84x = 1,225,905.34
  5. Step 5: Solve for x
    x = 1,225,905.34/1,403.84
  6. Step 6: Final answer
    x = 873.25

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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.