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Finding the Fourth Proportional to 693.56, 957.14 and 398.77

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Solution

The fourth proportional to 693.56, 957.14 and 398.77 is: 550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.56 : 957.14 = 398.77 : x
  2. Step 2: Convert to fraction form
    693.56/957.14 = 398.77/x
  3. Step 3: Cross multiply
    693.56x = 957.14 × 398.77
  4. Step 4: Simplify right side
    693.56x = 381,678.72
  5. Step 5: Solve for x
    x = 381,678.72/693.56
  6. Step 6: Final answer
    x = 550.32

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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.