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Finding the Fourth Proportional to 1,459.84, 2,012.97 and 1,085.62

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Solution

The fourth proportional to 1,459.84, 2,012.97 and 1,085.62 is: 1,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.84 : 2,012.97 = 1,085.62 : x
  2. Step 2: Convert to fraction form
    1,459.84/2,012.97 = 1,085.62/x
  3. Step 3: Cross multiply
    1,459.84x = 2,012.97 × 1,085.62
  4. Step 4: Simplify right side
    1,459.84x = 2,185,320.49
  5. Step 5: Solve for x
    x = 2,185,320.49/1,459.84
  6. Step 6: Final answer
    x = 1,496.96

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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.