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Finding the Fourth Proportional to 1,075.44, 1,613.04 and 305.92

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Solution

The fourth proportional to 1,075.44, 1,613.04 and 305.92 is: 458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.44 : 1,613.04 = 305.92 : x
  2. Step 2: Convert to fraction form
    1,075.44/1,613.04 = 305.92/x
  3. Step 3: Cross multiply
    1,075.44x = 1,613.04 × 305.92
  4. Step 4: Simplify right side
    1,075.44x = 493,461.20
  5. Step 5: Solve for x
    x = 493,461.20/1,075.44
  6. Step 6: Final answer
    x = 458.85

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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.