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Finding the Fourth Proportional to 948.53, 1,423.20 and 461.59

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Solution

The fourth proportional to 948.53, 1,423.20 and 461.59 is: 692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.53 : 1,423.20 = 461.59 : x
  2. Step 2: Convert to fraction form
    948.53/1,423.20 = 461.59/x
  3. Step 3: Cross multiply
    948.53x = 1,423.20 × 461.59
  4. Step 4: Simplify right side
    948.53x = 656,927.77
  5. Step 5: Solve for x
    x = 656,927.77/948.53
  6. Step 6: Final answer
    x = 692.57

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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.