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Finding the Fourth Proportional to 1,472.40, 2,208.84 and 606.76

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Solution

The fourth proportional to 1,472.40, 2,208.84 and 606.76 is: 910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.40 : 2,208.84 = 606.76 : x
  2. Step 2: Convert to fraction form
    1,472.40/2,208.84 = 606.76/x
  3. Step 3: Cross multiply
    1,472.40x = 2,208.84 × 606.76
  4. Step 4: Simplify right side
    1,472.40x = 1,340,235.76
  5. Step 5: Solve for x
    x = 1,340,235.76/1,472.40
  6. Step 6: Final answer
    x = 910.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.