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Finding the Fourth Proportional to 710.34, 1,064.89 and 248.05

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Solution

The fourth proportional to 710.34, 1,064.89 and 248.05 is: 371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.34 : 1,064.89 = 248.05 : x
  2. Step 2: Convert to fraction form
    710.34/1,064.89 = 248.05/x
  3. Step 3: Cross multiply
    710.34x = 1,064.89 × 248.05
  4. Step 4: Simplify right side
    710.34x = 264,140.64
  5. Step 5: Solve for x
    x = 264,140.64/710.34
  6. Step 6: Final answer
    x = 371.85

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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.