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Finding the Fourth Proportional to 716.64, 1,073.64 and 351.16

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Solution

The fourth proportional to 716.64, 1,073.64 and 351.16 is: 526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.64 : 1,073.64 = 351.16 : x
  2. Step 2: Convert to fraction form
    716.64/1,073.64 = 351.16/x
  3. Step 3: Cross multiply
    716.64x = 1,073.64 × 351.16
  4. Step 4: Simplify right side
    716.64x = 377,019.42
  5. Step 5: Solve for x
    x = 377,019.42/716.64
  6. Step 6: Final answer
    x = 526.09

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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.