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Finding the Fourth Proportional to 1,490.88, 2,236.35 and 710.97

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Solution

The fourth proportional to 1,490.88, 2,236.35 and 710.97 is: 1,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.88 : 2,236.35 = 710.97 : x
  2. Step 2: Convert to fraction form
    1,490.88/2,236.35 = 710.97/x
  3. Step 3: Cross multiply
    1,490.88x = 2,236.35 × 710.97
  4. Step 4: Simplify right side
    1,490.88x = 1,589,977.76
  5. Step 5: Solve for x
    x = 1,589,977.76/1,490.88
  6. Step 6: Final answer
    x = 1,066.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.