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Finding the Fourth Proportional to 867.52, 1,197.48 and 536.50

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Solution

The fourth proportional to 867.52, 1,197.48 and 536.50 is: 740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.52 : 1,197.48 = 536.50 : x
  2. Step 2: Convert to fraction form
    867.52/1,197.48 = 536.50/x
  3. Step 3: Cross multiply
    867.52x = 1,197.48 × 536.50
  4. Step 4: Simplify right side
    867.52x = 642,448.02
  5. Step 5: Solve for x
    x = 642,448.02/867.52
  6. Step 6: Final answer
    x = 740.56

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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.