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Finding the Fourth Proportional to 1,529.45, 2,295.07 and 651.91

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Solution

The fourth proportional to 1,529.45, 2,295.07 and 651.91 is: 978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.45 : 2,295.07 = 651.91 : x
  2. Step 2: Convert to fraction form
    1,529.45/2,295.07 = 651.91/x
  3. Step 3: Cross multiply
    1,529.45x = 2,295.07 × 651.91
  4. Step 4: Simplify right side
    1,529.45x = 1,496,171.72
  5. Step 5: Solve for x
    x = 1,496,171.72/1,529.45
  6. Step 6: Final answer
    x = 978.24

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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.