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Finding the Fourth Proportional to 1,019.03, 1,407.17 and 626.72

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Solution

The fourth proportional to 1,019.03, 1,407.17 and 626.72 is: 865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.03 : 1,407.17 = 626.72 : x
  2. Step 2: Convert to fraction form
    1,019.03/1,407.17 = 626.72/x
  3. Step 3: Cross multiply
    1,019.03x = 1,407.17 × 626.72
  4. Step 4: Simplify right side
    1,019.03x = 881,896.11
  5. Step 5: Solve for x
    x = 881,896.11/1,019.03
  6. Step 6: Final answer
    x = 865.43

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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.