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Finding the Fourth Proportional to 1,075.28, 1,610.38 and 920.32

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Solution

The fourth proportional to 1,075.28, 1,610.38 and 920.32 is: 1,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.28 : 1,610.38 = 920.32 : x
  2. Step 2: Convert to fraction form
    1,075.28/1,610.38 = 920.32/x
  3. Step 3: Cross multiply
    1,075.28x = 1,610.38 × 920.32
  4. Step 4: Simplify right side
    1,075.28x = 1,482,064.92
  5. Step 5: Solve for x
    x = 1,482,064.92/1,075.28
  6. Step 6: Final answer
    x = 1,378.31

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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.