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Finding the Fourth Proportional to 710.51, 1,065.78 and 299.84

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Solution

The fourth proportional to 710.51, 1,065.78 and 299.84 is: 449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.51 : 1,065.78 = 299.84 : x
  2. Step 2: Convert to fraction form
    710.51/1,065.78 = 299.84/x
  3. Step 3: Cross multiply
    710.51x = 1,065.78 × 299.84
  4. Step 4: Simplify right side
    710.51x = 319,558.15
  5. Step 5: Solve for x
    x = 319,558.15/710.51
  6. Step 6: Final answer
    x = 449.76

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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.