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Finding the Fourth Proportional to 952.76, 1,429.68 and 514.01

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Solution

The fourth proportional to 952.76, 1,429.68 and 514.01 is: 771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.76 : 1,429.68 = 514.01 : x
  2. Step 2: Convert to fraction form
    952.76/1,429.68 = 514.01/x
  3. Step 3: Cross multiply
    952.76x = 1,429.68 × 514.01
  4. Step 4: Simplify right side
    952.76x = 734,862.67
  5. Step 5: Solve for x
    x = 734,862.67/952.76
  6. Step 6: Final answer
    x = 771.30

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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.