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Finding the Fourth Proportional to 1,403.84, 2,104.85 and 582.68

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Solution

The fourth proportional to 1,403.84, 2,104.85 and 582.68 is: 873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.84 : 2,104.85 = 582.68 : x
  2. Step 2: Convert to fraction form
    1,403.84/2,104.85 = 582.68/x
  3. Step 3: Cross multiply
    1,403.84x = 2,104.85 × 582.68
  4. Step 4: Simplify right side
    1,403.84x = 1,226,444.93
  5. Step 5: Solve for x
    x = 1,226,444.93/1,403.84
  6. Step 6: Final answer
    x = 873.64

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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.