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Finding the Fourth Proportional to 710.86, 1,065.21 and 299.77

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Solution

The fourth proportional to 710.86, 1,065.21 and 299.77 is: 449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.86 : 1,065.21 = 299.77 : x
  2. Step 2: Convert to fraction form
    710.86/1,065.21 = 299.77/x
  3. Step 3: Cross multiply
    710.86x = 1,065.21 × 299.77
  4. Step 4: Simplify right side
    710.86x = 319,318.00
  5. Step 5: Solve for x
    x = 319,318.00/710.86
  6. Step 6: Final answer
    x = 449.20

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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.