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Finding the Fourth Proportional to 1,625.99, 2,438.37 and 530.06

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Solution

The fourth proportional to 1,625.99, 2,438.37 and 530.06 is: 794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.99 : 2,438.37 = 530.06 : x
  2. Step 2: Convert to fraction form
    1,625.99/2,438.37 = 530.06/x
  3. Step 3: Cross multiply
    1,625.99x = 2,438.37 × 530.06
  4. Step 4: Simplify right side
    1,625.99x = 1,292,470.21
  5. Step 5: Solve for x
    x = 1,292,470.21/1,625.99
  6. Step 6: Final answer
    x = 794.88

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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.