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Finding the Fourth Proportional to 1,502.58, 2,254.61 and 680.77

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Solution

The fourth proportional to 1,502.58, 2,254.61 and 680.77 is: 1,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.58 : 2,254.61 = 680.77 : x
  2. Step 2: Convert to fraction form
    1,502.58/2,254.61 = 680.77/x
  3. Step 3: Cross multiply
    1,502.58x = 2,254.61 × 680.77
  4. Step 4: Simplify right side
    1,502.58x = 1,534,870.85
  5. Step 5: Solve for x
    x = 1,534,870.85/1,502.58
  6. Step 6: Final answer
    x = 1,021.49

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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.