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Finding the Fourth Proportional to 1,051.27, 1,577.21 and 434.86

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Solution

The fourth proportional to 1,051.27, 1,577.21 and 434.86 is: 652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.27 : 1,577.21 = 434.86 : x
  2. Step 2: Convert to fraction form
    1,051.27/1,577.21 = 434.86/x
  3. Step 3: Cross multiply
    1,051.27x = 1,577.21 × 434.86
  4. Step 4: Simplify right side
    1,051.27x = 685,859.42
  5. Step 5: Solve for x
    x = 685,859.42/1,051.27
  6. Step 6: Final answer
    x = 652.41

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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.