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Finding the Fourth Proportional to 756.83, 1,043.68 and 590.98

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Solution

The fourth proportional to 756.83, 1,043.68 and 590.98 is: 814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.83 : 1,043.68 = 590.98 : x
  2. Step 2: Convert to fraction form
    756.83/1,043.68 = 590.98/x
  3. Step 3: Cross multiply
    756.83x = 1,043.68 × 590.98
  4. Step 4: Simplify right side
    756.83x = 616,794.01
  5. Step 5: Solve for x
    x = 616,794.01/756.83
  6. Step 6: Final answer
    x = 814.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.