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Finding the Fourth Proportional to 715.76, 1,073.16 and 407.48

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Solution

The fourth proportional to 715.76, 1,073.16 and 407.48 is: 610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.76 : 1,073.16 = 407.48 : x
  2. Step 2: Convert to fraction form
    715.76/1,073.16 = 407.48/x
  3. Step 3: Cross multiply
    715.76x = 1,073.16 × 407.48
  4. Step 4: Simplify right side
    715.76x = 437,293.92
  5. Step 5: Solve for x
    x = 437,293.92/715.76
  6. Step 6: Final answer
    x = 610.95

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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.