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Finding the Fourth Proportional to 741.85, 1,024.00 and 520.86

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Solution

The fourth proportional to 741.85, 1,024.00 and 520.86 is: 718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.85 : 1,024.00 = 520.86 : x
  2. Step 2: Convert to fraction form
    741.85/1,024.00 = 520.86/x
  3. Step 3: Cross multiply
    741.85x = 1,024.00 × 520.86
  4. Step 4: Simplify right side
    741.85x = 533,352.92
  5. Step 5: Solve for x
    x = 533,352.92/741.85
  6. Step 6: Final answer
    x = 718.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.