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Finding the Fourth Proportional to 1,126.04, 1,687.90 and 638.06

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Solution

The fourth proportional to 1,126.04, 1,687.90 and 638.06 is: 956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.04 : 1,687.90 = 638.06 : x
  2. Step 2: Convert to fraction form
    1,126.04/1,687.90 = 638.06/x
  3. Step 3: Cross multiply
    1,126.04x = 1,687.90 × 638.06
  4. Step 4: Simplify right side
    1,126.04x = 1,076,973.03
  5. Step 5: Solve for x
    x = 1,076,973.03/1,126.04
  6. Step 6: Final answer
    x = 956.43

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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.