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Finding the Fourth Proportional to 1,075.31, 1,613.06 and 305.81

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Solution

The fourth proportional to 1,075.31, 1,613.06 and 305.81 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.31 : 1,613.06 = 305.81 : x
  2. Step 2: Convert to fraction form
    1,075.31/1,613.06 = 305.81/x
  3. Step 3: Cross multiply
    1,075.31x = 1,613.06 × 305.81
  4. Step 4: Simplify right side
    1,075.31x = 493,289.88
  5. Step 5: Solve for x
    x = 493,289.88/1,075.31
  6. Step 6: Final answer
    x = 458.74

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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.