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Finding the Fourth Proportional to 754.07, 1,041.32 and 713.16

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Solution

The fourth proportional to 754.07, 1,041.32 and 713.16 is: 984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.07 : 1,041.32 = 713.16 : x
  2. Step 2: Convert to fraction form
    754.07/1,041.32 = 713.16/x
  3. Step 3: Cross multiply
    754.07x = 1,041.32 × 713.16
  4. Step 4: Simplify right side
    754.07x = 742,629.55
  5. Step 5: Solve for x
    x = 742,629.55/754.07
  6. Step 6: Final answer
    x = 984.83

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1.5x scale

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.