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Finding the Fourth Proportional to 1,075.80, 1,613.64 and 306.28

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Solution

The fourth proportional to 1,075.80, 1,613.64 and 306.28 is: 459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.80 : 1,613.64 = 306.28 : x
  2. Step 2: Convert to fraction form
    1,075.80/1,613.64 = 306.28/x
  3. Step 3: Cross multiply
    1,075.80x = 1,613.64 × 306.28
  4. Step 4: Simplify right side
    1,075.80x = 494,225.66
  5. Step 5: Solve for x
    x = 494,225.66/1,075.80
  6. Step 6: Final answer
    x = 459.40

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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.