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Finding the Fourth Proportional to 906.77, 1,357.67 and 473.01

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Solution

The fourth proportional to 906.77, 1,357.67 and 473.01 is: 708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.77 : 1,357.67 = 473.01 : x
  2. Step 2: Convert to fraction form
    906.77/1,357.67 = 473.01/x
  3. Step 3: Cross multiply
    906.77x = 1,357.67 × 473.01
  4. Step 4: Simplify right side
    906.77x = 642,189.12
  5. Step 5: Solve for x
    x = 642,189.12/906.77
  6. Step 6: Final answer
    x = 708.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.