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Finding the Fourth Proportional to 852.16, 1,175.56 and 502.68

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Solution

The fourth proportional to 852.16, 1,175.56 and 502.68 is: 693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.16 : 1,175.56 = 502.68 : x
  2. Step 2: Convert to fraction form
    852.16/1,175.56 = 502.68/x
  3. Step 3: Cross multiply
    852.16x = 1,175.56 × 502.68
  4. Step 4: Simplify right side
    852.16x = 590,930.50
  5. Step 5: Solve for x
    x = 590,930.50/852.16
  6. Step 6: Final answer
    x = 693.45

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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.