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Finding the Fourth Proportional to 943.58, 1,302.77 and 590.04

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Solution

The fourth proportional to 943.58, 1,302.77 and 590.04 is: 814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.58 : 1,302.77 = 590.04 : x
  2. Step 2: Convert to fraction form
    943.58/1,302.77 = 590.04/x
  3. Step 3: Cross multiply
    943.58x = 1,302.77 × 590.04
  4. Step 4: Simplify right side
    943.58x = 768,687.89
  5. Step 5: Solve for x
    x = 768,687.89/943.58
  6. Step 6: Final answer
    x = 814.65

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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.