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Finding the Fourth Proportional to 1,048.36, 1,446.86 and 606.25

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Solution

The fourth proportional to 1,048.36, 1,446.86 and 606.25 is: 836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.36 : 1,446.86 = 606.25 : x
  2. Step 2: Convert to fraction form
    1,048.36/1,446.86 = 606.25/x
  3. Step 3: Cross multiply
    1,048.36x = 1,446.86 × 606.25
  4. Step 4: Simplify right side
    1,048.36x = 877,158.88
  5. Step 5: Solve for x
    x = 877,158.88/1,048.36
  6. Step 6: Final answer
    x = 836.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.