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Finding the Fourth Proportional to 1,459.80, 2,014.54 and 870.39

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Solution

The fourth proportional to 1,459.80, 2,014.54 and 870.39 is: 1,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.80 : 2,014.54 = 870.39 : x
  2. Step 2: Convert to fraction form
    1,459.80/2,014.54 = 870.39/x
  3. Step 3: Cross multiply
    1,459.80x = 2,014.54 × 870.39
  4. Step 4: Simplify right side
    1,459.80x = 1,753,433.29
  5. Step 5: Solve for x
    x = 1,753,433.29/1,459.80
  6. Step 6: Final answer
    x = 1,201.15

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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.