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Finding the Fourth Proportional to 1,165.08, 1,607.34 and 667.44

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Solution

The fourth proportional to 1,165.08, 1,607.34 and 667.44 is: 920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.08 : 1,607.34 = 667.44 : x
  2. Step 2: Convert to fraction form
    1,165.08/1,607.34 = 667.44/x
  3. Step 3: Cross multiply
    1,165.08x = 1,607.34 × 667.44
  4. Step 4: Simplify right side
    1,165.08x = 1,072,803.01
  5. Step 5: Solve for x
    x = 1,072,803.01/1,165.08
  6. Step 6: Final answer
    x = 920.80

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1.5x scale

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.