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Finding the Fourth Proportional to 843.86, 1,164.61 and 529.18

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Solution

The fourth proportional to 843.86, 1,164.61 and 529.18 is: 730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.86 : 1,164.61 = 529.18 : x
  2. Step 2: Convert to fraction form
    843.86/1,164.61 = 529.18/x
  3. Step 3: Cross multiply
    843.86x = 1,164.61 × 529.18
  4. Step 4: Simplify right side
    843.86x = 616,288.32
  5. Step 5: Solve for x
    x = 616,288.32/843.86
  6. Step 6: Final answer
    x = 730.32

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1.5x scale

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.