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Finding the Fourth Proportional to 713.94, 985.50 and 536.64

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Solution

The fourth proportional to 713.94, 985.50 and 536.64 is: 740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.94 : 985.50 = 536.64 : x
  2. Step 2: Convert to fraction form
    713.94/985.50 = 536.64/x
  3. Step 3: Cross multiply
    713.94x = 985.50 × 536.64
  4. Step 4: Simplify right side
    713.94x = 528,858.72
  5. Step 5: Solve for x
    x = 528,858.72/713.94
  6. Step 6: Final answer
    x = 740.76

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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.