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Finding the Fourth Proportional to 864.99, 1,199.80 and 833.86

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Solution

The fourth proportional to 864.99, 1,199.80 and 833.86 is: 1,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.99 : 1,199.80 = 833.86 : x
  2. Step 2: Convert to fraction form
    864.99/1,199.80 = 833.86/x
  3. Step 3: Cross multiply
    864.99x = 1,199.80 × 833.86
  4. Step 4: Simplify right side
    864.99x = 1,000,465.23
  5. Step 5: Solve for x
    x = 1,000,465.23/864.99
  6. Step 6: Final answer
    x = 1,156.62

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.