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Finding the Fourth Proportional to 1,460.52, 2,014.82 and 987.80

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Solution

The fourth proportional to 1,460.52, 2,014.82 and 987.80 is: 1,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.52 : 2,014.82 = 987.80 : x
  2. Step 2: Convert to fraction form
    1,460.52/2,014.82 = 987.80/x
  3. Step 3: Cross multiply
    1,460.52x = 2,014.82 × 987.80
  4. Step 4: Simplify right side
    1,460.52x = 1,990,239.20
  5. Step 5: Solve for x
    x = 1,990,239.20/1,460.52
  6. Step 6: Final answer
    x = 1,362.69

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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.