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Finding the Fourth Proportional to 758.40, 1,020.60 and 758.40

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Solution

The fourth proportional to 758.40, 1,020.60 and 758.40 is: 1,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.40 : 1,020.60 = 758.40 : x
  2. Step 2: Convert to fraction form
    758.40/1,020.60 = 758.40/x
  3. Step 3: Cross multiply
    758.40x = 1,020.60 × 758.40
  4. Step 4: Simplify right side
    758.40x = 774,023.04
  5. Step 5: Solve for x
    x = 774,023.04/758.40
  6. Step 6: Final answer
    x = 1,020.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.