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Finding the Fourth Proportional to 1,302.09, 1,951.68 and 521.90

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Solution

The fourth proportional to 1,302.09, 1,951.68 and 521.90 is: 782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.09 : 1,951.68 = 521.90 : x
  2. Step 2: Convert to fraction form
    1,302.09/1,951.68 = 521.90/x
  3. Step 3: Cross multiply
    1,302.09x = 1,951.68 × 521.90
  4. Step 4: Simplify right side
    1,302.09x = 1,018,581.79
  5. Step 5: Solve for x
    x = 1,018,581.79/1,302.09
  6. Step 6: Final answer
    x = 782.27

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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.