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Finding the Fourth Proportional to 851.63, 1,175.45 and 590.00

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Solution

The fourth proportional to 851.63, 1,175.45 and 590.00 is: 814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.63 : 1,175.45 = 590.00 : x
  2. Step 2: Convert to fraction form
    851.63/1,175.45 = 590.00/x
  3. Step 3: Cross multiply
    851.63x = 1,175.45 × 590.00
  4. Step 4: Simplify right side
    851.63x = 693,506.67
  5. Step 5: Solve for x
    x = 693,506.67/851.63
  6. Step 6: Final answer
    x = 814.33

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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.