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Finding the Fourth Proportional to 710.56, 1,065.84 and 277.84

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Solution

The fourth proportional to 710.56, 1,065.84 and 277.84 is: 416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.56 : 1,065.84 = 277.84 : x
  2. Step 2: Convert to fraction form
    710.56/1,065.84 = 277.84/x
  3. Step 3: Cross multiply
    710.56x = 1,065.84 × 277.84
  4. Step 4: Simplify right side
    710.56x = 296,132.99
  5. Step 5: Solve for x
    x = 296,132.99/710.56
  6. Step 6: Final answer
    x = 416.76

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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.