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Finding the Fourth Proportional to 871.07, 1,199.45 and 752.83

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Solution

The fourth proportional to 871.07, 1,199.45 and 752.83 is: 1,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.07 : 1,199.45 = 752.83 : x
  2. Step 2: Convert to fraction form
    871.07/1,199.45 = 752.83/x
  3. Step 3: Cross multiply
    871.07x = 1,199.45 × 752.83
  4. Step 4: Simplify right side
    871.07x = 902,980.83
  5. Step 5: Solve for x
    x = 902,980.83/871.07
  6. Step 6: Final answer
    x = 1,036.64

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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.