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Finding the Fourth Proportional to 814.07, 1,222.13 and 678.77

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Solution

The fourth proportional to 814.07, 1,222.13 and 678.77 is: 1,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.07 : 1,222.13 = 678.77 : x
  2. Step 2: Convert to fraction form
    814.07/1,222.13 = 678.77/x
  3. Step 3: Cross multiply
    814.07x = 1,222.13 × 678.77
  4. Step 4: Simplify right side
    814.07x = 829,545.18
  5. Step 5: Solve for x
    x = 829,545.18/814.07
  6. Step 6: Final answer
    x = 1,019.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.