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Finding the Fourth Proportional to 1,642.74, 2,464.06 and 472.74

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Solution

The fourth proportional to 1,642.74, 2,464.06 and 472.74 is: 709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.74 : 2,464.06 = 472.74 : x
  2. Step 2: Convert to fraction form
    1,642.74/2,464.06 = 472.74/x
  3. Step 3: Cross multiply
    1,642.74x = 2,464.06 × 472.74
  4. Step 4: Simplify right side
    1,642.74x = 1,164,864.05
  5. Step 5: Solve for x
    x = 1,164,864.05/1,642.74
  6. Step 6: Final answer
    x = 709.10

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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.