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Finding the Fourth Proportional to 1,687.88, 2,532.07 and 592.05

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Solution

The fourth proportional to 1,687.88, 2,532.07 and 592.05 is: 888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.88 : 2,532.07 = 592.05 : x
  2. Step 2: Convert to fraction form
    1,687.88/2,532.07 = 592.05/x
  3. Step 3: Cross multiply
    1,687.88x = 2,532.07 × 592.05
  4. Step 4: Simplify right side
    1,687.88x = 1,499,106.37
  5. Step 5: Solve for x
    x = 1,499,106.37/1,687.88
  6. Step 6: Final answer
    x = 888.16

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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.