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Finding the Fourth Proportional to 969.93, 1,455.11 and 507.59

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Solution

The fourth proportional to 969.93, 1,455.11 and 507.59 is: 761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.93 : 1,455.11 = 507.59 : x
  2. Step 2: Convert to fraction form
    969.93/1,455.11 = 507.59/x
  3. Step 3: Cross multiply
    969.93x = 1,455.11 × 507.59
  4. Step 4: Simplify right side
    969.93x = 738,589.47
  5. Step 5: Solve for x
    x = 738,589.47/969.93
  6. Step 6: Final answer
    x = 761.49

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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.