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Finding the Fourth Proportional to 714.93, 986.38 and 400.15

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Solution

The fourth proportional to 714.93, 986.38 and 400.15 is: 552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.93 : 986.38 = 400.15 : x
  2. Step 2: Convert to fraction form
    714.93/986.38 = 400.15/x
  3. Step 3: Cross multiply
    714.93x = 986.38 × 400.15
  4. Step 4: Simplify right side
    714.93x = 394,698.96
  5. Step 5: Solve for x
    x = 394,698.96/714.93
  6. Step 6: Final answer
    x = 552.08

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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.