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Finding the Fourth Proportional to 969.47, 1,455.99 and 507.57

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Solution

The fourth proportional to 969.47, 1,455.99 and 507.57 is: 762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.47 : 1,455.99 = 507.57 : x
  2. Step 2: Convert to fraction form
    969.47/1,455.99 = 507.57/x
  3. Step 3: Cross multiply
    969.47x = 1,455.99 × 507.57
  4. Step 4: Simplify right side
    969.47x = 739,016.84
  5. Step 5: Solve for x
    x = 739,016.84/969.47
  6. Step 6: Final answer
    x = 762.29

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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.