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Finding the Fourth Proportional to 1,406.95, 2,110.79 and 541.03

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Solution

The fourth proportional to 1,406.95, 2,110.79 and 541.03 is: 811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.95 : 2,110.79 = 541.03 : x
  2. Step 2: Convert to fraction form
    1,406.95/2,110.79 = 541.03/x
  3. Step 3: Cross multiply
    1,406.95x = 2,110.79 × 541.03
  4. Step 4: Simplify right side
    1,406.95x = 1,142,000.71
  5. Step 5: Solve for x
    x = 1,142,000.71/1,406.95
  6. Step 6: Final answer
    x = 811.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.