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Finding the Fourth Proportional to 710.65, 1,066.21 and 299.91

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Solution

The fourth proportional to 710.65, 1,066.21 and 299.91 is: 449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.65 : 1,066.21 = 299.91 : x
  2. Step 2: Convert to fraction form
    710.65/1,066.21 = 299.91/x
  3. Step 3: Cross multiply
    710.65x = 1,066.21 × 299.91
  4. Step 4: Simplify right side
    710.65x = 319,767.04
  5. Step 5: Solve for x
    x = 319,767.04/710.65
  6. Step 6: Final answer
    x = 449.96

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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.