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Finding the Fourth Proportional to 1,442.76, 2,164.14 and 469.05

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Solution

The fourth proportional to 1,442.76, 2,164.14 and 469.05 is: 703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.76 : 2,164.14 = 469.05 : x
  2. Step 2: Convert to fraction form
    1,442.76/2,164.14 = 469.05/x
  3. Step 3: Cross multiply
    1,442.76x = 2,164.14 × 469.05
  4. Step 4: Simplify right side
    1,442.76x = 1,015,089.87
  5. Step 5: Solve for x
    x = 1,015,089.87/1,442.76
  6. Step 6: Final answer
    x = 703.58

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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.