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Finding the Fourth Proportional to 1,075.89, 1,613.85 and 345.48

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Solution

The fourth proportional to 1,075.89, 1,613.85 and 345.48 is: 518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.89 : 1,613.85 = 345.48 : x
  2. Step 2: Convert to fraction form
    1,075.89/1,613.85 = 345.48/x
  3. Step 3: Cross multiply
    1,075.89x = 1,613.85 × 345.48
  4. Step 4: Simplify right side
    1,075.89x = 557,552.90
  5. Step 5: Solve for x
    x = 557,552.90/1,075.89
  6. Step 6: Final answer
    x = 518.22

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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.