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Finding the Fourth Proportional to 953, 1,430.48 and 844

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Solution

The fourth proportional to 953, 1,430.48 and 844 is: 1,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    953 : 1,430.48 = 844 : x
  2. Step 2: Convert to fraction form
    953/1,430.48 = 844/x
  3. Step 3: Cross multiply
    953x = 1,430.48 × 844
  4. Step 4: Simplify right side
    953x = 1,207,325.12
  5. Step 5: Solve for x
    x = 1,207,325.12/953
  6. Step 6: Final answer
    x = 1,266.87

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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.