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Finding the Fourth Proportional to 1,678.68, 2,518.02 and 582.45

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Solution

The fourth proportional to 1,678.68, 2,518.02 and 582.45 is: 873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.68 : 2,518.02 = 582.45 : x
  2. Step 2: Convert to fraction form
    1,678.68/2,518.02 = 582.45/x
  3. Step 3: Cross multiply
    1,678.68x = 2,518.02 × 582.45
  4. Step 4: Simplify right side
    1,678.68x = 1,466,620.75
  5. Step 5: Solve for x
    x = 1,466,620.75/1,678.68
  6. Step 6: Final answer
    x = 873.68

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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.