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Finding the Fourth Proportional to 953.66, 1,428.48 and 490.02

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Solution

The fourth proportional to 953.66, 1,428.48 and 490.02 is: 734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.66 : 1,428.48 = 490.02 : x
  2. Step 2: Convert to fraction form
    953.66/1,428.48 = 490.02/x
  3. Step 3: Cross multiply
    953.66x = 1,428.48 × 490.02
  4. Step 4: Simplify right side
    953.66x = 699,983.77
  5. Step 5: Solve for x
    x = 699,983.77/953.66
  6. Step 6: Final answer
    x = 734.00

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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.