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Finding the Fourth Proportional to 1,195.34, 1,649.61 and 753.14

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Solution

The fourth proportional to 1,195.34, 1,649.61 and 753.14 is: 1,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.34 : 1,649.61 = 753.14 : x
  2. Step 2: Convert to fraction form
    1,195.34/1,649.61 = 753.14/x
  3. Step 3: Cross multiply
    1,195.34x = 1,649.61 × 753.14
  4. Step 4: Simplify right side
    1,195.34x = 1,242,387.28
  5. Step 5: Solve for x
    x = 1,242,387.28/1,195.34
  6. Step 6: Final answer
    x = 1,039.36

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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.