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Finding the Fourth Proportional to 714.81, 986.39 and 420.07

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Solution

The fourth proportional to 714.81, 986.39 and 420.07 is: 579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.81 : 986.39 = 420.07 : x
  2. Step 2: Convert to fraction form
    714.81/986.39 = 420.07/x
  3. Step 3: Cross multiply
    714.81x = 986.39 × 420.07
  4. Step 4: Simplify right side
    714.81x = 414,348.28
  5. Step 5: Solve for x
    x = 414,348.28/714.81
  6. Step 6: Final answer
    x = 579.66

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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.