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Finding the Fourth Proportional to 1,001.63, 1,381.76 and 628.42

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Solution

The fourth proportional to 1,001.63, 1,381.76 and 628.42 is: 866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.63 : 1,381.76 = 628.42 : x
  2. Step 2: Convert to fraction form
    1,001.63/1,381.76 = 628.42/x
  3. Step 3: Cross multiply
    1,001.63x = 1,381.76 × 628.42
  4. Step 4: Simplify right side
    1,001.63x = 868,323.74
  5. Step 5: Solve for x
    x = 868,323.74/1,001.63
  6. Step 6: Final answer
    x = 866.91

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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.