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Finding the Fourth Proportional to 1,405.70, 2,108.66 and 540.02

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Solution

The fourth proportional to 1,405.70, 2,108.66 and 540.02 is: 810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.70 : 2,108.66 = 540.02 : x
  2. Step 2: Convert to fraction form
    1,405.70/2,108.66 = 540.02/x
  3. Step 3: Cross multiply
    1,405.70x = 2,108.66 × 540.02
  4. Step 4: Simplify right side
    1,405.70x = 1,138,718.57
  5. Step 5: Solve for x
    x = 1,138,718.57/1,405.70
  6. Step 6: Final answer
    x = 810.07

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