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Finding the Fourth Proportional to 1,196.99, 1,652.09 and 754.59

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Solution

The fourth proportional to 1,196.99, 1,652.09 and 754.59 is: 1,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.99 : 1,652.09 = 754.59 : x
  2. Step 2: Convert to fraction form
    1,196.99/1,652.09 = 754.59/x
  3. Step 3: Cross multiply
    1,196.99x = 1,652.09 × 754.59
  4. Step 4: Simplify right side
    1,196.99x = 1,246,646.82
  5. Step 5: Solve for x
    x = 1,246,646.82/1,196.99
  6. Step 6: Final answer
    x = 1,041.49

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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.