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Finding the Fourth Proportional to 713.85, 985.12 and 419.12

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Solution

The fourth proportional to 713.85, 985.12 and 419.12 is: 578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.85 : 985.12 = 419.12 : x
  2. Step 2: Convert to fraction form
    713.85/985.12 = 419.12/x
  3. Step 3: Cross multiply
    713.85x = 985.12 × 419.12
  4. Step 4: Simplify right side
    713.85x = 412,889.11
  5. Step 5: Solve for x
    x = 412,889.11/713.85
  6. Step 6: Final answer
    x = 578.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.