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Finding the Fourth Proportional to 750.40, 1,125.60 and 263.44

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Solution

The fourth proportional to 750.40, 1,125.60 and 263.44 is: 395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.40 : 1,125.60 = 263.44 : x
  2. Step 2: Convert to fraction form
    750.40/1,125.60 = 263.44/x
  3. Step 3: Cross multiply
    750.40x = 1,125.60 × 263.44
  4. Step 4: Simplify right side
    750.40x = 296,528.06
  5. Step 5: Solve for x
    x = 296,528.06/750.40
  6. Step 6: Final answer
    x = 395.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.