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Finding the Fourth Proportional to 953.63, 1,430.85 and 514.37

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Solution

The fourth proportional to 953.63, 1,430.85 and 514.37 is: 771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.63 : 1,430.85 = 514.37 : x
  2. Step 2: Convert to fraction form
    953.63/1,430.85 = 514.37/x
  3. Step 3: Cross multiply
    953.63x = 1,430.85 × 514.37
  4. Step 4: Simplify right side
    953.63x = 735,979.16
  5. Step 5: Solve for x
    x = 735,979.16/953.63
  6. Step 6: Final answer
    x = 771.77

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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.