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Finding the Fourth Proportional to 870.20, 1,199.87 and 590.62

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Solution

The fourth proportional to 870.20, 1,199.87 and 590.62 is: 814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.20 : 1,199.87 = 590.62 : x
  2. Step 2: Convert to fraction form
    870.20/1,199.87 = 590.62/x
  3. Step 3: Cross multiply
    870.20x = 1,199.87 × 590.62
  4. Step 4: Simplify right side
    870.20x = 708,664.02
  5. Step 5: Solve for x
    x = 708,664.02/870.20
  6. Step 6: Final answer
    x = 814.37

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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.