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Finding the Fourth Proportional to 1,020.26, 1,407.96 and 554.50

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Solution

The fourth proportional to 1,020.26, 1,407.96 and 554.50 is: 765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.26 : 1,407.96 = 554.50 : x
  2. Step 2: Convert to fraction form
    1,020.26/1,407.96 = 554.50/x
  3. Step 3: Cross multiply
    1,020.26x = 1,407.96 × 554.50
  4. Step 4: Simplify right side
    1,020.26x = 780,713.82
  5. Step 5: Solve for x
    x = 780,713.82/1,020.26
  6. Step 6: Final answer
    x = 765.21

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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.