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Finding the Fourth Proportional to 953.86, 1,430.76 and 523.72

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Solution

The fourth proportional to 953.86, 1,430.76 and 523.72 is: 785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.86 : 1,430.76 = 523.72 : x
  2. Step 2: Convert to fraction form
    953.86/1,430.76 = 523.72/x
  3. Step 3: Cross multiply
    953.86x = 1,430.76 × 523.72
  4. Step 4: Simplify right side
    953.86x = 749,317.63
  5. Step 5: Solve for x
    x = 749,317.63/953.86
  6. Step 6: Final answer
    x = 785.56

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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.