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Finding the Fourth Proportional to 693.83, 957.83 and 473.92

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Solution

The fourth proportional to 693.83, 957.83 and 473.92 is: 654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.83 : 957.83 = 473.92 : x
  2. Step 2: Convert to fraction form
    693.83/957.83 = 473.92/x
  3. Step 3: Cross multiply
    693.83x = 957.83 × 473.92
  4. Step 4: Simplify right side
    693.83x = 453,930.03
  5. Step 5: Solve for x
    x = 453,930.03/693.83
  6. Step 6: Final answer
    x = 654.24

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Double scale
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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.