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Finding the Fourth Proportional to 1,474.99, 2,212.16 and 435.07

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Solution

The fourth proportional to 1,474.99, 2,212.16 and 435.07 is: 652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.99 : 2,212.16 = 435.07 : x
  2. Step 2: Convert to fraction form
    1,474.99/2,212.16 = 435.07/x
  3. Step 3: Cross multiply
    1,474.99x = 2,212.16 × 435.07
  4. Step 4: Simplify right side
    1,474.99x = 962,444.45
  5. Step 5: Solve for x
    x = 962,444.45/1,474.99
  6. Step 6: Final answer
    x = 652.51

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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.