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Finding the Fourth Proportional to 1,019.62, 1,407.06 and 553.87

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Solution

The fourth proportional to 1,019.62, 1,407.06 and 553.87 is: 764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.62 : 1,407.06 = 553.87 : x
  2. Step 2: Convert to fraction form
    1,019.62/1,407.06 = 553.87/x
  3. Step 3: Cross multiply
    1,019.62x = 1,407.06 × 553.87
  4. Step 4: Simplify right side
    1,019.62x = 779,321.29
  5. Step 5: Solve for x
    x = 779,321.29/1,019.62
  6. Step 6: Final answer
    x = 764.33

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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.