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Finding the Fourth Proportional to 1,460.14, 2,015.01 and 862.59

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Solution

The fourth proportional to 1,460.14, 2,015.01 and 862.59 is: 1,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.14 : 2,015.01 = 862.59 : x
  2. Step 2: Convert to fraction form
    1,460.14/2,015.01 = 862.59/x
  3. Step 3: Cross multiply
    1,460.14x = 2,015.01 × 862.59
  4. Step 4: Simplify right side
    1,460.14x = 1,738,127.48
  5. Step 5: Solve for x
    x = 1,738,127.48/1,460.14
  6. Step 6: Final answer
    x = 1,190.38

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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.