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Finding the Fourth Proportional to 1,405.16, 2,107.50 and 539.48

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Solution

The fourth proportional to 1,405.16, 2,107.50 and 539.48 is: 809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.16 : 2,107.50 = 539.48 : x
  2. Step 2: Convert to fraction form
    1,405.16/2,107.50 = 539.48/x
  3. Step 3: Cross multiply
    1,405.16x = 2,107.50 × 539.48
  4. Step 4: Simplify right side
    1,405.16x = 1,136,954.10
  5. Step 5: Solve for x
    x = 1,136,954.10/1,405.16
  6. Step 6: Final answer
    x = 809.13

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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.