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Finding the Fourth Proportional to 1,430.51, 2,145.77 and 505.86

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Solution

The fourth proportional to 1,430.51, 2,145.77 and 505.86 is: 758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.51 : 2,145.77 = 505.86 : x
  2. Step 2: Convert to fraction form
    1,430.51/2,145.77 = 505.86/x
  3. Step 3: Cross multiply
    1,430.51x = 2,145.77 × 505.86
  4. Step 4: Simplify right side
    1,430.51x = 1,085,456.68
  5. Step 5: Solve for x
    x = 1,085,456.68/1,430.51
  6. Step 6: Final answer
    x = 758.79

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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.