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Finding the Fourth Proportional to 714.76, 986.36 and 400.05

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Solution

The fourth proportional to 714.76, 986.36 and 400.05 is: 552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.76 : 986.36 = 400.05 : x
  2. Step 2: Convert to fraction form
    714.76/986.36 = 400.05/x
  3. Step 3: Cross multiply
    714.76x = 986.36 × 400.05
  4. Step 4: Simplify right side
    714.76x = 394,594.71
  5. Step 5: Solve for x
    x = 394,594.71/714.76
  6. Step 6: Final answer
    x = 552.07

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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.