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Finding the Fourth Proportional to 1,642.50, 2,463.74 and 472.53

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Solution

The fourth proportional to 1,642.50, 2,463.74 and 472.53 is: 708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.50 : 2,463.74 = 472.53 : x
  2. Step 2: Convert to fraction form
    1,642.50/2,463.74 = 472.53/x
  3. Step 3: Cross multiply
    1,642.50x = 2,463.74 × 472.53
  4. Step 4: Simplify right side
    1,642.50x = 1,164,191.06
  5. Step 5: Solve for x
    x = 1,164,191.06/1,642.50
  6. Step 6: Final answer
    x = 708.79

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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.