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Finding the Fourth Proportional to 943.32, 1,415.46 and 713.64

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Solution

The fourth proportional to 943.32, 1,415.46 and 713.64 is: 1,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.32 : 1,415.46 = 713.64 : x
  2. Step 2: Convert to fraction form
    943.32/1,415.46 = 713.64/x
  3. Step 3: Cross multiply
    943.32x = 1,415.46 × 713.64
  4. Step 4: Simplify right side
    943.32x = 1,010,128.87
  5. Step 5: Solve for x
    x = 1,010,128.87/943.32
  6. Step 6: Final answer
    x = 1,070.82

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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.