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Finding the Fourth Proportional to 1,434.96, 2,152.62 and 510.30

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Solution

The fourth proportional to 1,434.96, 2,152.62 and 510.30 is: 765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.96 : 2,152.62 = 510.30 : x
  2. Step 2: Convert to fraction form
    1,434.96/2,152.62 = 510.30/x
  3. Step 3: Cross multiply
    1,434.96x = 2,152.62 × 510.30
  4. Step 4: Simplify right side
    1,434.96x = 1,098,481.99
  5. Step 5: Solve for x
    x = 1,098,481.99/1,434.96
  6. Step 6: Final answer
    x = 765.51

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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.