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Finding the Fourth Proportional to 852.02, 1,175.81 and 479.07

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Solution

The fourth proportional to 852.02, 1,175.81 and 479.07 is: 661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.02 : 1,175.81 = 479.07 : x
  2. Step 2: Convert to fraction form
    852.02/1,175.81 = 479.07/x
  3. Step 3: Cross multiply
    852.02x = 1,175.81 × 479.07
  4. Step 4: Simplify right side
    852.02x = 563,295.30
  5. Step 5: Solve for x
    x = 563,295.30/852.02
  6. Step 6: Final answer
    x = 661.13

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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.