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Finding the Fourth Proportional to 1,502.89, 2,254.77 and 529.07

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Solution

The fourth proportional to 1,502.89, 2,254.77 and 529.07 is: 793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.89 : 2,254.77 = 529.07 : x
  2. Step 2: Convert to fraction form
    1,502.89/2,254.77 = 529.07/x
  3. Step 3: Cross multiply
    1,502.89x = 2,254.77 × 529.07
  4. Step 4: Simplify right side
    1,502.89x = 1,192,919.89
  5. Step 5: Solve for x
    x = 1,192,919.89/1,502.89
  6. Step 6: Final answer
    x = 793.75

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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.