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Finding the Fourth Proportional to 912.30, 1,368.06 and 473.37

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Solution

The fourth proportional to 912.30, 1,368.06 and 473.37 is: 709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.30 : 1,368.06 = 473.37 : x
  2. Step 2: Convert to fraction form
    912.30/1,368.06 = 473.37/x
  3. Step 3: Cross multiply
    912.30x = 1,368.06 × 473.37
  4. Step 4: Simplify right side
    912.30x = 647,598.56
  5. Step 5: Solve for x
    x = 647,598.56/912.30
  6. Step 6: Final answer
    x = 709.85

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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.