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Finding the Fourth Proportional to 710.09, 1,064.57 and 271.25

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Solution

The fourth proportional to 710.09, 1,064.57 and 271.25 is: 406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.09 : 1,064.57 = 271.25 : x
  2. Step 2: Convert to fraction form
    710.09/1,064.57 = 271.25/x
  3. Step 3: Cross multiply
    710.09x = 1,064.57 × 271.25
  4. Step 4: Simplify right side
    710.09x = 288,763.26
  5. Step 5: Solve for x
    x = 288,763.26/710.09
  6. Step 6: Final answer
    x = 406.66

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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.