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Finding the Fourth Proportional to 710.35, 1,065.17 and 248.00

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Solution

The fourth proportional to 710.35, 1,065.17 and 248.00 is: 371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.35 : 1,065.17 = 248.00 : x
  2. Step 2: Convert to fraction form
    710.35/1,065.17 = 248.00/x
  3. Step 3: Cross multiply
    710.35x = 1,065.17 × 248.00
  4. Step 4: Simplify right side
    710.35x = 264,156.06
  5. Step 5: Solve for x
    x = 264,156.06/710.35
  6. Step 6: Final answer
    x = 371.87

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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.