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Finding the Fourth Proportional to 953.48, 1,428.06 and 780.68

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Solution

The fourth proportional to 953.48, 1,428.06 and 780.68 is: 1,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.48 : 1,428.06 = 780.68 : x
  2. Step 2: Convert to fraction form
    953.48/1,428.06 = 780.68/x
  3. Step 3: Cross multiply
    953.48x = 1,428.06 × 780.68
  4. Step 4: Simplify right side
    953.48x = 1,114,857.88
  5. Step 5: Solve for x
    x = 1,114,857.88/953.48
  6. Step 6: Final answer
    x = 1,169.25

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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.