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Finding the Fourth Proportional to 1,642.21, 2,463.05 and 471.94

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Solution

The fourth proportional to 1,642.21, 2,463.05 and 471.94 is: 707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.21 : 2,463.05 = 471.94 : x
  2. Step 2: Convert to fraction form
    1,642.21/2,463.05 = 471.94/x
  3. Step 3: Cross multiply
    1,642.21x = 2,463.05 × 471.94
  4. Step 4: Simplify right side
    1,642.21x = 1,162,421.50
  5. Step 5: Solve for x
    x = 1,162,421.50/1,642.21
  6. Step 6: Final answer
    x = 707.84

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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.