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Finding the Fourth Proportional to 714.92, 986.85 and 420.19

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Solution

The fourth proportional to 714.92, 986.85 and 420.19 is: 580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.92 : 986.85 = 420.19 : x
  2. Step 2: Convert to fraction form
    714.92/986.85 = 420.19/x
  3. Step 3: Cross multiply
    714.92x = 986.85 × 420.19
  4. Step 4: Simplify right side
    714.92x = 414,662.03
  5. Step 5: Solve for x
    x = 414,662.03/714.92
  6. Step 6: Final answer
    x = 580.02

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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.