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Finding the Fourth Proportional to 1,442.76, 2,164.96 and 609.76

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Solution

The fourth proportional to 1,442.76, 2,164.96 and 609.76 is: 914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.76 : 2,164.96 = 609.76 : x
  2. Step 2: Convert to fraction form
    1,442.76/2,164.96 = 609.76/x
  3. Step 3: Cross multiply
    1,442.76x = 2,164.96 × 609.76
  4. Step 4: Simplify right side
    1,442.76x = 1,320,106.01
  5. Step 5: Solve for x
    x = 1,320,106.01/1,442.76
  6. Step 6: Final answer
    x = 914.99

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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.