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Finding the Fourth Proportional to 1,308.21, 1,805.35 and 718.78

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Solution

The fourth proportional to 1,308.21, 1,805.35 and 718.78 is: 991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.21 : 1,805.35 = 718.78 : x
  2. Step 2: Convert to fraction form
    1,308.21/1,805.35 = 718.78/x
  3. Step 3: Cross multiply
    1,308.21x = 1,805.35 × 718.78
  4. Step 4: Simplify right side
    1,308.21x = 1,297,649.47
  5. Step 5: Solve for x
    x = 1,297,649.47/1,308.21
  6. Step 6: Final answer
    x = 991.93

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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.