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Finding the Fourth Proportional to 955.92, 1,319.02 and 536.24

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Solution

The fourth proportional to 955.92, 1,319.02 and 536.24 is: 739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.92 : 1,319.02 = 536.24 : x
  2. Step 2: Convert to fraction form
    955.92/1,319.02 = 536.24/x
  3. Step 3: Cross multiply
    955.92x = 1,319.02 × 536.24
  4. Step 4: Simplify right side
    955.92x = 707,311.28
  5. Step 5: Solve for x
    x = 707,311.28/955.92
  6. Step 6: Final answer
    x = 739.93

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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.