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Finding the Fourth Proportional to 1,384, 2,075.96 and 410.16

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Solution

The fourth proportional to 1,384, 2,075.96 and 410.16 is: 615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384 : 2,075.96 = 410.16 : x
  2. Step 2: Convert to fraction form
    1,384/2,075.96 = 410.16/x
  3. Step 3: Cross multiply
    1,384x = 2,075.96 × 410.16
  4. Step 4: Simplify right side
    1,384x = 851,475.75
  5. Step 5: Solve for x
    x = 851,475.75/1,384
  6. Step 6: Final answer
    x = 615.23

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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.