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Finding the Fourth Proportional to 1,075.69, 1,613.69 and 345.02

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Solution

The fourth proportional to 1,075.69, 1,613.69 and 345.02 is: 517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.69 : 1,613.69 = 345.02 : x
  2. Step 2: Convert to fraction form
    1,075.69/1,613.69 = 345.02/x
  3. Step 3: Cross multiply
    1,075.69x = 1,613.69 × 345.02
  4. Step 4: Simplify right side
    1,075.69x = 556,755.90
  5. Step 5: Solve for x
    x = 556,755.90/1,075.69
  6. Step 6: Final answer
    x = 517.58

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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.