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Finding the Fourth Proportional to 852.46, 1,175.91 and 590.02

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Solution

The fourth proportional to 852.46, 1,175.91 and 590.02 is: 813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.46 : 1,175.91 = 590.02 : x
  2. Step 2: Convert to fraction form
    852.46/1,175.91 = 590.02/x
  3. Step 3: Cross multiply
    852.46x = 1,175.91 × 590.02
  4. Step 4: Simplify right side
    852.46x = 693,810.42
  5. Step 5: Solve for x
    x = 693,810.42/852.46
  6. Step 6: Final answer
    x = 813.89

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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.