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Finding the Fourth Proportional to 1,460.59, 2,015.61 and 797.44

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Solution

The fourth proportional to 1,460.59, 2,015.61 and 797.44 is: 1,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.59 : 2,015.61 = 797.44 : x
  2. Step 2: Convert to fraction form
    1,460.59/2,015.61 = 797.44/x
  3. Step 3: Cross multiply
    1,460.59x = 2,015.61 × 797.44
  4. Step 4: Simplify right side
    1,460.59x = 1,607,328.04
  5. Step 5: Solve for x
    x = 1,607,328.04/1,460.59
  6. Step 6: Final answer
    x = 1,100.46

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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.