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Finding the Fourth Proportional to 953.02, 1,315.79 and 853.26

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Solution

The fourth proportional to 953.02, 1,315.79 and 853.26 is: 1,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.02 : 1,315.79 = 853.26 : x
  2. Step 2: Convert to fraction form
    953.02/1,315.79 = 853.26/x
  3. Step 3: Cross multiply
    953.02x = 1,315.79 × 853.26
  4. Step 4: Simplify right side
    953.02x = 1,122,710.98
  5. Step 5: Solve for x
    x = 1,122,710.98/953.02
  6. Step 6: Final answer
    x = 1,178.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.