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Finding the Fourth Proportional to 852.68, 1,177.68 and 697.16

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Solution

The fourth proportional to 852.68, 1,177.68 and 697.16 is: 962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.68 : 1,177.68 = 697.16 : x
  2. Step 2: Convert to fraction form
    852.68/1,177.68 = 697.16/x
  3. Step 3: Cross multiply
    852.68x = 1,177.68 × 697.16
  4. Step 4: Simplify right side
    852.68x = 821,031.39
  5. Step 5: Solve for x
    x = 821,031.39/852.68
  6. Step 6: Final answer
    x = 962.88

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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.