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Finding the Fourth Proportional to 953.02, 1,428.18 and 466.41

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Solution

The fourth proportional to 953.02, 1,428.18 and 466.41 is: 698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.02 : 1,428.18 = 466.41 : x
  2. Step 2: Convert to fraction form
    953.02/1,428.18 = 466.41/x
  3. Step 3: Cross multiply
    953.02x = 1,428.18 × 466.41
  4. Step 4: Simplify right side
    953.02x = 666,117.43
  5. Step 5: Solve for x
    x = 666,117.43/953.02
  6. Step 6: Final answer
    x = 698.95

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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.