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Finding the Fourth Proportional to 1,075.84, 1,613.64 and 306.34

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Solution

The fourth proportional to 1,075.84, 1,613.64 and 306.34 is: 459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.84 : 1,613.64 = 306.34 : x
  2. Step 2: Convert to fraction form
    1,075.84/1,613.64 = 306.34/x
  3. Step 3: Cross multiply
    1,075.84x = 1,613.64 × 306.34
  4. Step 4: Simplify right side
    1,075.84x = 494,322.48
  5. Step 5: Solve for x
    x = 494,322.48/1,075.84
  6. Step 6: Final answer
    x = 459.48

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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.