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Finding the Fourth Proportional to 1,474.76, 2,210.70 and 824.06

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Solution

The fourth proportional to 1,474.76, 2,210.70 and 824.06 is: 1,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.76 : 2,210.70 = 824.06 : x
  2. Step 2: Convert to fraction form
    1,474.76/2,210.70 = 824.06/x
  3. Step 3: Cross multiply
    1,474.76x = 2,210.70 × 824.06
  4. Step 4: Simplify right side
    1,474.76x = 1,821,749.44
  5. Step 5: Solve for x
    x = 1,821,749.44/1,474.76
  6. Step 6: Final answer
    x = 1,235.29

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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.