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Finding the Fourth Proportional to 746.61, 1,120.50 and 517.11

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Solution

The fourth proportional to 746.61, 1,120.50 and 517.11 is: 776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.61 : 1,120.50 = 517.11 : x
  2. Step 2: Convert to fraction form
    746.61/1,120.50 = 517.11/x
  3. Step 3: Cross multiply
    746.61x = 1,120.50 × 517.11
  4. Step 4: Simplify right side
    746.61x = 579,421.76
  5. Step 5: Solve for x
    x = 579,421.76/746.61
  6. Step 6: Final answer
    x = 776.07

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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.