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Finding the Fourth Proportional to 1,623.05, 2,434.76 and 582.89

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Solution

The fourth proportional to 1,623.05, 2,434.76 and 582.89 is: 874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.05 : 2,434.76 = 582.89 : x
  2. Step 2: Convert to fraction form
    1,623.05/2,434.76 = 582.89/x
  3. Step 3: Cross multiply
    1,623.05x = 2,434.76 × 582.89
  4. Step 4: Simplify right side
    1,623.05x = 1,419,194.34
  5. Step 5: Solve for x
    x = 1,419,194.34/1,623.05
  6. Step 6: Final answer
    x = 874.40

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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.