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Finding the Fourth Proportional to 1,459.86, 2,014.14 and 870

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Solution

The fourth proportional to 1,459.86, 2,014.14 and 870 is: 1,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.86 : 2,014.14 = 870 : x
  2. Step 2: Convert to fraction form
    1,459.86/2,014.14 = 870/x
  3. Step 3: Cross multiply
    1,459.86x = 2,014.14 × 870
  4. Step 4: Simplify right side
    1,459.86x = 1,752,301.80
  5. Step 5: Solve for x
    x = 1,752,301.80/1,459.86
  6. Step 6: Final answer
    x = 1,200.32

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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.