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Finding the Fourth Proportional to 745.60, 1,126.40 and 745.60

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Solution

The fourth proportional to 745.60, 1,126.40 and 745.60 is: 1,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.60 : 1,126.40 = 745.60 : x
  2. Step 2: Convert to fraction form
    745.60/1,126.40 = 745.60/x
  3. Step 3: Cross multiply
    745.60x = 1,126.40 × 745.60
  4. Step 4: Simplify right side
    745.60x = 839,843.84
  5. Step 5: Solve for x
    x = 839,843.84/745.60
  6. Step 6: Final answer
    x = 1,126.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.