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Finding the Fourth Proportional to 1,450.86, 2,176.32 and 525.84

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Solution

The fourth proportional to 1,450.86, 2,176.32 and 525.84 is: 788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.86 : 2,176.32 = 525.84 : x
  2. Step 2: Convert to fraction form
    1,450.86/2,176.32 = 525.84/x
  3. Step 3: Cross multiply
    1,450.86x = 2,176.32 × 525.84
  4. Step 4: Simplify right side
    1,450.86x = 1,144,399.20
  5. Step 5: Solve for x
    x = 1,144,399.20/1,450.86
  6. Step 6: Final answer
    x = 788.77

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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.