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Finding the Fourth Proportional to 1,048.54, 1,446.51 and 654.88

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Solution

The fourth proportional to 1,048.54, 1,446.51 and 654.88 is: 903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.54 : 1,446.51 = 654.88 : x
  2. Step 2: Convert to fraction form
    1,048.54/1,446.51 = 654.88/x
  3. Step 3: Cross multiply
    1,048.54x = 1,446.51 × 654.88
  4. Step 4: Simplify right side
    1,048.54x = 947,290.47
  5. Step 5: Solve for x
    x = 947,290.47/1,048.54
  6. Step 6: Final answer
    x = 903.44

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Why These Related Problems?

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