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Finding the Fourth Proportional to 1,195.04, 1,649.12 and 671.08

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Solution

The fourth proportional to 1,195.04, 1,649.12 and 671.08 is: 926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.04 : 1,649.12 = 671.08 : x
  2. Step 2: Convert to fraction form
    1,195.04/1,649.12 = 671.08/x
  3. Step 3: Cross multiply
    1,195.04x = 1,649.12 × 671.08
  4. Step 4: Simplify right side
    1,195.04x = 1,106,691.45
  5. Step 5: Solve for x
    x = 1,106,691.45/1,195.04
  6. Step 6: Final answer
    x = 926.07

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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.