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Finding the Fourth Proportional to 1,459.97, 2,014.70 and 900.50

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Solution

The fourth proportional to 1,459.97, 2,014.70 and 900.50 is: 1,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.97 : 2,014.70 = 900.50 : x
  2. Step 2: Convert to fraction form
    1,459.97/2,014.70 = 900.50/x
  3. Step 3: Cross multiply
    1,459.97x = 2,014.70 × 900.50
  4. Step 4: Simplify right side
    1,459.97x = 1,814,222.77
  5. Step 5: Solve for x
    x = 1,814,222.77/1,459.97
  6. Step 6: Final answer
    x = 1,242.64

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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.