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Finding the Fourth Proportional to 1,406.52, 2,110.38 and 540.63

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Solution

The fourth proportional to 1,406.52, 2,110.38 and 540.63 is: 811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.52 : 2,110.38 = 540.63 : x
  2. Step 2: Convert to fraction form
    1,406.52/2,110.38 = 540.63/x
  3. Step 3: Cross multiply
    1,406.52x = 2,110.38 × 540.63
  4. Step 4: Simplify right side
    1,406.52x = 1,140,934.74
  5. Step 5: Solve for x
    x = 1,140,934.74/1,406.52
  6. Step 6: Final answer
    x = 811.18

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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.