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Finding the Fourth Proportional to 1,647.33, 2,470.62 and 477.08

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Solution

The fourth proportional to 1,647.33, 2,470.62 and 477.08 is: 715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.33 : 2,470.62 = 477.08 : x
  2. Step 2: Convert to fraction form
    1,647.33/2,470.62 = 477.08/x
  3. Step 3: Cross multiply
    1,647.33x = 2,470.62 × 477.08
  4. Step 4: Simplify right side
    1,647.33x = 1,178,679.41
  5. Step 5: Solve for x
    x = 1,178,679.41/1,647.33
  6. Step 6: Final answer
    x = 715.51

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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.