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Finding the Fourth Proportional to 715.35, 1,073.01 and 386.45

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Solution

The fourth proportional to 715.35, 1,073.01 and 386.45 is: 579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.35 : 1,073.01 = 386.45 : x
  2. Step 2: Convert to fraction form
    715.35/1,073.01 = 386.45/x
  3. Step 3: Cross multiply
    715.35x = 1,073.01 × 386.45
  4. Step 4: Simplify right side
    715.35x = 414,659.35
  5. Step 5: Solve for x
    x = 414,659.35/715.35
  6. Step 6: Final answer
    x = 579.66

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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.