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Finding the Fourth Proportional to 1,525.97, 2,288.51 and 430.07

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Solution

The fourth proportional to 1,525.97, 2,288.51 and 430.07 is: 644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.97 : 2,288.51 = 430.07 : x
  2. Step 2: Convert to fraction form
    1,525.97/2,288.51 = 430.07/x
  3. Step 3: Cross multiply
    1,525.97x = 2,288.51 × 430.07
  4. Step 4: Simplify right side
    1,525.97x = 984,217.35
  5. Step 5: Solve for x
    x = 984,217.35/1,525.97
  6. Step 6: Final answer
    x = 644.98

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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.