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Finding the Fourth Proportional to 1,625.64, 2,437.00 and 584.92

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Solution

The fourth proportional to 1,625.64, 2,437.00 and 584.92 is: 876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.64 : 2,437.00 = 584.92 : x
  2. Step 2: Convert to fraction form
    1,625.64/2,437.00 = 584.92/x
  3. Step 3: Cross multiply
    1,625.64x = 2,437.00 × 584.92
  4. Step 4: Simplify right side
    1,625.64x = 1,425,441.21
  5. Step 5: Solve for x
    x = 1,425,441.21/1,625.64
  6. Step 6: Final answer
    x = 876.85

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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.